HONOURED SCIENTISTS

Great and world renowned Russian-Ukrainian Honored Scientists who are Advisors of Advisors of

PROFESSOR Dr. AMAN Ullah Khan (Ph.D. Advisor was ACADEMICIAN Anatolii Mekhailovich SAMOILENKO,

And D.Sc. Advisor was ACADEMICIAN Yurii Alekseevich MITROPOLSKY, agreed)

are introduced below:

(1)                ACADEMICIAN Anatolii Mekhailovich SAMOILENKO (Ph.D. /D.Sc. Advisor was ACADEMICIAN Yurii Alekseevich MITROPOLSKY)

(2)                ACADEMICIAN Yurii Alekseevich MITROPOLSKY (Ph.D. /D.Sc. Advisor was ACADEMICIAN Nikolay Nikolaevich BOGOLYUBOV)

(3)                ACADEMICIAN Nikolay Nikolaevich BOGOLYUBOV (Ph.D. /D.Sc. Advisor was ACADEMICIAN Nikolai Mitrofanovich KRYLOV)

(4)                ACADEMICIAN Nikolai Mitrofanovich KRYLOV (Ph.D. /D.Sc. Advisor was Prof. Dr. Ivan Petrovich Dolbnya who has one student but 488 descendents)

(5)                (ACADEMICIAN) RECTOR and PROFESSOR Ivan Petrovich DOLBNYA (Ph.D. / D.Sc. Advisor unknown)

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Detailed introduction of the above Honoured Russian-Ukrainian Scientists (copied from internet)

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Main

Biography

Students

Editorial

Publications

News

Miscellaneous

Photos

Contacts

Anatoly Samoilenko

MAIN:

·                     D.Sc., Prof., Member of the National Academy of Sciences of Ukraine

·                     Director of the Institute of Mathematics of the NAS of Ukraine, Head of Department of Differential Equations and Oscillation Theory

·                     Academician-Secretary of the Mathematics Division of the NAS of Ukraine

### BIOGRAPHY: SCIENTIFIC LIFE

Anatoly M. Samoilenko, a member of the National Academy of Sciences of Ukraine, is the founder of a scientific school on multifrequency oscillations and impulsive systems recognized by the world leading mathematical centers. He is a leading expert in the field of differential equations and nonlinear oscillations.

Since 1988, A. M. Samoilenko is the Director of the Institute of Mathematics, NAS of Ukraine and, since 2006, Academician-Secretary of the Mathematics Division of the NAS of Ukraine. In 1978, he had been elected a Corresponding Member and, in 1995, a Member of the NAS of Ukraine. Since 2002, A. M. Samoilenko is a Member of the European Academy of Sciences.

A. M. Samoilenko is the author of more than 400 publications that include 30 monographs and 15 university texts. Most of his papers and books were translated into foreign languages.

A. M. Samoilenko's research interests cover a wide range of complicated mathematical problems. The international recognition of his scientific achievements is justified by the well-known terms like "A. M. Samoilenko's numerical-analytic method"&"Green-Samoilenko function". His monographs contributed significantly to mathematical science and teaching of mathematics

### STUDENTS: Scientific Tree(A. M. Samoilenko's scientific tree is available here).

(List of hundred (D.Sc =24 + Ph.D =76) Students up to 2006 has been given below)

### FORMER STUDENTS (Doctor of Science = D.Sc.)

1.                    Martynyuk, Dmitry I. Year of defence: 1982

Thesis title: Periodic and Quasiperiodic Solutions of Difference-Differential and Difference Equations (in Russian)

2.                    Perestyuk, Nikolai A. Year of defence: 1985

Thesis title: Oscillatory Solutions of Impulsive Differential Equations and Their Stability (in Russian)

3.                    Ronto, Nikolai I. Year of defence: 1985

Thesis title: Constructive Numerical-Analytical Methods of Investigation of Boundary Value Problems (in Russian)

4.                    Kulik, Viktor L. Year of defence: 1988

Thesis title: Dichotomy of Linear Differential Equations and Sign-Alternating Lyapunov Functions (in Russian)

5.                    Tkach, Boris P. Year of defence: 1991

Thesis title: Periodic and Quasiperiodic Solutions of Systems with Distributed Parameters (in Russian)

6.                    Teplinsky, Yuriy V. Year of defence: 1992

Thesis title: Investigations of Oscillations in Countable Systems of Differential Equations (in Russian)

7.                    Ilolov, Mamadsho Year of defence: 1992

Thesis title: Evolution Equations with Time Deviations and Impulsive Action (in Russian)

8.                    Glavan, Vasiliy A. Year of defence: 1992

Thesis title: Investigation of Linear Extensions of Dynamical Systems in the Critical Case (in Russian)

9.                    Boichuk, Alexander A. Year of defence: 1992

Thesis title: Constructive Methods of Investigation of Noether Boundary Value Problems (in Russian)

10.                 Yakovec, Vasiliy P. Year of defence: 1993

Thesis title: Asymptotic Integration of Linear Systems of Second Order Partial Differential Equations with Slowly Varying Coefficients (in Russian)

11.                 Trofimchuk, Sergey I. Year of defence: 1994

Thesis title: Investigation of Almost Periodic Impulsive Systems (in Russian)

12.                 Parasyuk, Igor O. Year of defence: 1995

Thesis title: Coisotropic Invariant Tori of Hamiltonian Systems (in Ukrainian)

13.                 Kenzhebaev, Kenzhegali Year of defence: 1995

Thesis title: Constructive Methods of Investigation of Periodic and Boundary Value Problems (in Russian)

14.                 Petrishin, Roman I. Year of defence: 1995

Thesis title: Investigation of Oscillatory Systems with Slowly Varying Frequencies by Using Averaging Method (in Uk)

15.                 Moseenkov, Viktor B. Year of defence: 1996

Thesis title: Qualitative Methods of Investigation of Convection Problems of a Weakly Compressable Viscous Liquid Uk

16.                 Tkachenko, Viktor I. Year of defence: 1997

Thesis title: Investigation of Bounded Solutions and Invariant Sets of Almost Periodic Systems (in Ukrainian)

17.                 Prytula, Mykola M. Year of defence: 1998

Thesis title Gradient-Holonomic Method of Investigation of Non-Linear Evolution Equations on Functional Manifolds U

18.                 Borysenko, Sergiy D. Year of defence: 1998

Thesis title: Integro-Sum Inequalities and Stability Problems for Systems with Impulsive Perturbations (in Ukrainian)

19.                 Stanzhitsky, Olexandr M. Year of defence: 2002

Thesis title: Qualitative Analysis of Differential Equations with Random Perturbations (in Ukrainian)

20.                 Lagno, Viktor I. Year of defence: 2003

Thesis title: Realisations of Lie Algebras of Groups of Local Transformations and Group Analysis of Non-Linear Differential Equations (in Ukrainian)

21.                 Vitrichenko, I E. Year of defence: 2004

Thesis title: Critical Cases of Lyapunov Stability of Non-Autonomous Non-Linear Differential Systems (in Ukrainian)

22.                 Karandzhulov, Lyudmil I. Year of defence: 2004

Thesis title: Noether Boundary Value Problems for Systems of Ordinary Differential Equations with Regular and Singular Perturbations (in Ukrainian)

23.                 Ronto, Andrei M. Year of defence: 2005

Thesis title: Initial and Boundary Value Problems for Functional Differential Equations (in Ukrainian)

24.                 Prykarpatsky, Yarema A. Year of defence: 2006

Thesis title: Investigation of Algebraic-Analytical and Topologic-Geometrical Properties of Integrable Dynamical Systems and Their Adiabatic Perturbations (in Ukrainian)

### FORMER STUDENTS (Candidate ofScience = Ph. D.)

1.                    Vahabov, Gani Year of defence: 1970

Thesis title: On Some Methods of Investigation of Oscillations in Nonlinear Systems of Integro-Differential Equations R

2.                    Oleinik, Svyatoslav G. Year of defence: 1970

Thesis title: Transformation of Linear Differential Systems with Bounded Coefficients to a Triangular Form (in Russian)

3.                    Ronto, Nikolai I. Year of defence: 1971

Thesis title: Finding Periodic Solutions by Using the Method of Collocation (in Russian)

4.                    Rizun, Vladimir I. Year of defence: 1971

Thesis title: Some Constructive Methods of Constructing Solutions of Differential Systems with Variable Coefficients R

5.                    Perestyuk, Nikolai A. Year of defence: 1971

Thesis title: Some Questions of Investigating Nonlinear Differential Systems with an Impulsive (in Russian)

6.                    Golets, Valentina L. Year of defence: 1972

Thesis title: Investigating a Condition of Periodic Motions of Some Nonlinear Systems (in Russian)

7.                    Shlapak, Yuriy D. Year of defence: 1974

Thesis title: Investigating Oscillations of Some Kinds of Systems (in Russian)

8.                    Kulik, Viktor L. Year of defence: 1975

Thesis title: Conditionally Stable Invariant Sets and Manifolds of Dynamical Systems (in Russian)

9.                    Polesya, Igor V. Year of defence: 1976

Thesis title: The Bifurcation of Invariant Sets of Dynamical Systems (in Russian)

10.                 Ordynskaya, Zoya P. Year of defence: 1977

Thesis title: Invariant Toroidal Manifolds of the Systems with a Delay (in Russian)

11.                 Dvorak, Alexandr V. Year of defence: 1977

Thesis title: The Behaviour of Trajectories in the Neighbourhood of Structurally Stable Invariant Toroidal Manifolds of Dynamical Systems (in Russian)

12.                 Moseenkov, Viktor B. Year of defence: 1978

Thesis title: Quasiperiodic Solutions of Nonlinear Hyperbolic Equations (in Russian)

13.                 Nurzhanov, Orynbay Year of defence: 1979

Thesis title: Analytical Methods of Constructing Periodical Solutions of Integro-Differential Equations of the Volterra type

14.                 Teplinsky, Yuriy V. Year of defence: 1979

Thesis title: Invariant Tori and a Reducibility of Countable Differential Systems (in Russian)

15.                 Karkinbaev, Iskak Year of defence: 1979

Thesis title: Investigating Weakly Nonlinear Systems with a Switching and Systems with an Impulse (in Russian)

16.                 Parasyuk, Igor O. Year of defence: 1979

Thesis title: Constructing and Investigating Quasiperiodic Solutions of Some Classes of Differential Equations (in Russ)

17.                 Tai, Le Lyong Year of defence: 1979

Thesis title: Periodic Solutions of Some Classes of Autonomous Systems and Their Stability (in Russian)

18.                 Tsyganovsky, Nikolai S. Year of defence: 1980

Thesis title: Investigating the Oscillations of Systems Subjected to Impulsive Action (in Russian)

19.                 Eremenko, Valeriy A. Year of defence: 1981

Thesis title: Investigating Oscillation Systems with Quasiperiodic Coefficients (in Russian)

20.                 Petrishin, Roman I. Year of defence: 1981

Thesis title: The Averaging Method in Oscillation Systems with Variable Frequencies (in Russian)

21.                 Gurgula, Stepan I. Year of defence: 1982

Thesis title: The Stability of Solutions of Differential Systems with Impulsive Action (in Russian)

22.                 Ronto, Valentina A. Year of defence: 1982

Thesis title: Constructing Solutions of Two-Point Boundary Problems (in Russian)

23.                 Vozny, Alexey M. Year of defence: 1982

Thesis title: The Application of Ateb-Functions for Constructing Solutions of Nonlinear Differential Systems (in Russ)

24.                 Tkachenko, Viktor I. Year of defence: 1983

Thesis title: The Asymptotic Integration, Dichotomy and Splittingness of Dynamical Systems of Nonlinear Mechanics

25.                 Baekova, Svetlana Year of defence: 1983

Thesis title: Invariant Toroidal Manifolds for Singularly Perturbed Systems (in Russian)

26.                 Vuitovich, Bogdan Year of defence: 1983

Thesis title: Periodic Solutions of Integro-Differential Equations of Volterra Type with the Infinite Limit (in Russian)

27.                 Sobkovich, Roman I. Year of defence: 1983

Thesis title: Numerical-Analytical Methods of Investigating Boundary Problems with a Control (in Russian)

28.                 Aslanyan, Artem A. Year of defence: 1983

Thesis title: The Optimal Control of Differential Systems with Impulsive Action (in Russian)

29.                 Borysenko, Sergiy D. Year of defence: 1983

Thesis title: The Application of Integral Inequalities in the Problem of the Stability of Solutions of Differential SystemsR

30.                 Zlepko, Petr P. Year of defence: 1983

Thesis title: Some Proective-Iterative Methods of Solving Nonlinear Integral Equations with a Parameter (in Russian)

31.                 Kenzhebaev, Kenzhegali Year of defence: 1984

Thesis title: Constructive Methods of Analysis of Solutions of Boundary Problems for Differential Systems (in Russian)

32.                 Malkov, Viktor A. Year of defence: 1984

Thesis title: Invariant Tori and the Splittingness of Extentions of Dynamical Systems on a Torus (in Russian)

33.                 Shpakovich, Vasiliy P. Year of defence: 1985

Thesis title: The Substantiation of the Averaging Method for Nonlinear Oscillation Systems with Retarded Argument (R

34.                 Turbaev, Buranbay Year of defence: 1985

Thesis title: The Asymptotic Integration of Nonlinear Integro-Differential Equations (in Russian)

35.                 Ovezdurdyev, Hudaiberdy Year of defence: 1985

Thesis title: Numerical-Analytical Methods of Investigating Solutions of Two-Point Boundary Problems (in Russian)

36.             Ullah, Aman (Prof. Dr. Aman Ullah Khan), Year of defense: 29th October,1984

Thesis title: Algorithmical Improvements of the Approximations of Nonlinear Functions and Solutions of Differential Equations (in Russian)

37.                 Alymbaev, Asan Year of defence: 1986

Thesis title: Analytical Methods of Investigating Periodic Solutions of Integro-Differential Equations (in Russian)

38.                 Mamsa, E. Yu. Year of defence: 1987

Thesis title: Periodic Solutions and Integral Sets of Differential Equations with Impulsive Action (in Russian)

39.                 Muntyan, Valeriy I. Year of defence: 1987

Thesis title: The Substantiation of Asymptotic Methods for Equations with " Maxima " (in Russian)

40.                 Svischuk, Mariya Ya. Year of defence: 1987

Thesis title: Investigating Periodic Solutions of Differential Systems with Slow and Rapid Arguments (in Russian)

41.                 Laver, Alexandr G. Year of defence: 1987

Thesis title: The Asymptotics of Solutions of Periodic Boundary Problems for Two Order Parabolic Equations with Small Parameter Near the Derivative with Respect to Time (in Russian)

42.                 Avdeyuk, Pavel I. Year of defence: 1987

Thesis title: Invariant Tori of Countable Differential Systems (in Russian)

43.                 Kirichenko, Svetlana B. Year of defence: 1989

Thesis title: The Optimal Impulsive Correction (in Russian)

44.                 Stanzhitsky, Olexandr M. Year of defence: 1989

Thesis title: Oscillatory Properties of Solutions of Differential Equations with Random Perturbations (in Russian)

45.                 Astafyeva, Mariya N. Year of defence: 1989

Thesis title: The Averaging of Multifrequency Oscillation Systems with Impulsive Action (in Russian)

46.                 Shpakovich, Olga V. Year of defence: 1989

Thesis title: Asymptotic Expansions and The Smoothness of Invariant Torus of Quasilinear Differential System with Respect to a Parameter (in Russian)

47.                 Nefyodova, Galina D. Year of defence: 1989

Thesis title: Investigating Periodic Solutions of Differential-Operator Equations (in Russian)

48.                 Filippov, Maxim G. Year of defence: 1990

Thesis title: The Reducibility of Almost Periodic Systems (in Russian)

49.                 Kurbanbaev, Oras Year of defence: 1990

Thesis title: Boundary Problems for Differential Equations with Impulsive Action (in Russian)

50.                 Suhomlin, Alexandr A. Year of defence: 1990

Thesis title: Investigating Systems of Difference Equations with Constant and Slowly Changing Frequencies (in Russian)

51.                 Mustafaev, Hamid Year of defence: 1991

Thesis title: The Averaging Method for Differential Systems with Variable Deviating Argument (in Russian)

52.                 Sarybaev, M. Year of defence: 1991

Thesis title: The Averaging of Multifrequency Evolutionary Systems with Slowly Changing Frequencies (in Russian)

53.                 Martynyuk, Sergey V. Year of defence: 1992

Thesis title: Investigating Solutions of Boundary Problems for Systems of Nonlinear Differential Equations (in Russian)

54.                 Trofimchuk, Elena P. Year of defence: 1992

Thesis title: Iterative Methods of Investigating Differential Systems with a Singularity (in Russian)

55.                 Luchyk, Vasyl Ye. Year of defence: 1992

Thesis title: Investigating Countable Differential Systems with Impulsive Action (in Ukrainian)

56.                 Ovchar, Rayisa F. Year of defence: 1993

Thesis title: Crytical Boundary Problems for Differential Systems with Impulsive Action (in Ukrainian)

57.                 Svistun, Oxana P. Year of defence: 1994

Thesis title: Separatrix Manifolds of Linear Impulsive Systems (in Russian)

58.                 Protsak, Lyudmyla V. Year of defence: 1996

Thesis title: Qualitative Analysis of Bounded Spherically Symmetric Solutions of Nonlinear Equations of the Field Theory

59.                 Kopas, Inna M. Year of defence: 1996

Thesis title: Invariant Sets of Ito Stochastic Systems on the Plane (in Ukrainian)

60.                 Ateiwi, Ali Mahmud Hamad Year of defence: 1997

Thesis title: Oscillation Properties of Solutions of Difference Equations and Their Stability (in Russian)

61.                 Yanchuk, Sergiy V. Year of defence: 1997

Thesis title: Investigating Nonautonomous Differential Equations and Chua Systems (in Ukrainian)

62.                 Elnazarov, Addis A. Year of defence: 1998

Thesis title: Some Questions of the Theory of Countable Systems and Asymptotic Methods (in Ukrainian)

63.                 Nabil, Ahmad Ali Year of defence: 1998

Thesis title: Invariant Sets and Oscillation Properties of Solutions of Some Classes of Impulsive Systems (in Ukrainian)

64.                 Popovych, Olexandr V. Year of defence: 1999

Thesis title: Asymptotic Behaviour and Bifurcations of Solutions of Chains of Coupled Oscillators (in Ukrainian)

65.                 Veryovkina, Hanna V. Year of defence: 1999

Thesis title: Invariant Sets of Countable Systems of Differential and Difference Equations (in Ukrainian)

66.                 Prykarpatsky, Yarema A. Year of defence: 1999

Thesis title: Symplectic Analysis of Integral Manifolds of Completely Integrable Hamiltonian Systems and of Their Adiabatic Perturbations (in Ukrainian)

67.                 Teplinsky, Olexiy Yu. Year of defence: 1999

Thesis title: Asymptotic Expansions for Eigenvalues and Eigenfunctions of Boundary Problems with Rapidly Changing CoefficientsU

68.                 Nyzhnyk, Ipyna L. Year of defence: 1999

Thesis title: Space-Time Analysis of Solutions of Some Nonlinear Chains (in Ukrainian)

69.                 Petryshyn, Yaroslav R. Year of defence: 2001

Thesis title: The Averaging of Multiple-Point Problems for Nonlinear Oscillation Systems with Slowly Changing Frequencies (in Uk)

70.                 Davydenko, Andriy A. Year of defence: 2003

Thesis title: Investigating Behaviour of Solutions of Nonlinear Differential Systems in the Neighbourhood of Their Invariant Toroidal Manifolds (in Ukrainian)

71.                 Stepanenko, Nataliya V. Year of defence: 2003

Thesis title: Lyapunov Functions with Alternating Sign in the Theory of Differential Equations (in Ukrainian)

72.                 Stelmaschuk, Lyudmyla V. Year of defence: 2004

Thesis title: Periodic Solutions of Differential Equations with a Delay (in Ukrainian)

73.                 Boichuk, Andriy O. Year of defence: 2004

Thesis title: Bounded on Real Axis Solutions of Systems of Ordinary Differential Equations with a Perturbation (in Ukr)

74.                 Omelchenko, Iryna V. Year of defence: 2005

Thesis title: The Synchronization and Stability of Solutions of Coupled Mappings Systems (in Ukrainian)

75.                 Chuiko, Olexiy S. Year of defence: 2006

Thesis title: Impulsive Boundary Problems for Systems with a Switching (in Ukrainian)

76.                 Dilna, Nataliya Z. Year of defence: 2006

Thesis title: The Solvability of Initial-Value Problem for Positive Systems of Functional-Differential Equations (in Ukra)

EDITORIAL: Prof. Anatoly Samoilenko is a member of Editorial Boards of the following journals:

·                     Nonlinear Oscillations (Editor-in-Chief)

·                     Ukrainian Mathematical Journal (Editor-in-Chief)

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·                     Ukrainian Mathematical Bulletin (Editor-in-Chief)

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### SCIENTIFIC PUBLICATIONS: Abstracts books and articles written by A. M. Samoilenko can be found in MathSciNet

An article in the "Molod Ukrayiny" newspaper 2008-12-24</P< div>

Anatoliy Samoilenko is a recipient of the order "For development of Ukraine" the name of M. Grushevsky

On June, 27 the Allukrainian measure of International Academic Rating “Golden Fortune” devoted Day of Constitution of Ukraine took place in the National academy of sciences of Ukraine. 15th in succession Academy conducts the ceremony of celebration in honour of merits of personages and organizations of humanity in many countries of the world. IARTAS “Gold Fortuna” is international scientific organization which in the Presidium united the first persons of national and royal Academies of sciences 29 countries. The chosen one of Rating is people which deserve the greatest honour and differences for the achievements in the different spheres of activity: to science, industry, culture, education et cetera.

On presentation of the National academy of sciences of Ukraine in a nomination „For the substantial personal contribution to development of mathematical science in the world" by Order „For Development of Ukraine the name of M. Grushevsky” was the recipient of an award Anatoliy Samoylenko - a director of Institute of mathematics of NAS of Ukraine, actual member of NAS of Ukraine and European AS.

Every winner of Rating carries by his activity in the world the kind name of our nation. It is pleasant to acknowledge that nominants are those people which by their labour personify Ukraine, work for blessing of Fatherland, promote prosperity and confession of our state in the world arena.

Pictures are kindly given by MARTIS “Golden Fortune” with possibility of free public use and distribution.

·                                                                     Photo 1  Photo 2   Photo 3   Photo 4   Photo 5   Photo 6  Photo 7  2008-06-27</P< div>

Anatoly Samoilenko is a recipient of the order of Yaroslav Mudry of V-th degree

For the ponderable personal contribution to development of domestic science, preparation of highly skilled specialists, long-term conscientious labour and on occasion of Day of science Anatoly Samoilenko became a recipient of the order of Yaroslav Mudry of V-th degree (in order to the decree 442/2008 from May, 14 of President of Ukraine).

Text of Decree  2008-05-15</P< div>

Bogolyubov Readings, 2008 - announce

The international conference DIFFERENTIAL EQUATIONS, THEORY OF FUNCTIONS AND THEIR APPLICATIONS is organized on the occasion of the 70th birthday of academician A. M. SAMOILENKO on June 16–21, 2008, in the framework of BOGOLYUBOV READINGS, 2008. The conference will be held at the Tavriyskiy State Agrotechnological University, Melitopol, Ukraine.

Method of Lyapunov Functions and Its Applications", MFL-2008 - announce

The Nineth International Scientific Workshop "Method of Lyapunov Functions and Its Applications", MFL-2008, is held in Alushta, Crimea, on occasion of Academician Anatoly Samoilenko's 70th birthday.

First announcement (in Russian)  2008-03-20</P< div>

Anatoly Samoilenko is 70

On January 2, 2008 Anatoly Samoilenko had celebrated his 70s birthday and 45 years of the scientific, pedagogic, organizational and social activities.

·

·                       An article in the "Kyiv Polytechnic" newspaper  2008-01-02</P< div>

Institutes of NAS of Ukraine (Who is Who in Kyjiv)

Information about the Director of the Institute of Mathematics, NAS of Ukraine, in "Who is Who in Kyjiv"

PDF  2007-03-22</P< div>

Anatoly Samoilenko (Address Book of the NAS of Ukraine)

Anatoly Samoilenko (in the Address Book of the NAS of Ukraine)

Coversheet  PDF  2007-03-22</P< div>

Anatoly Samoilenko is 60

On January 2, 1998 Anatoly Samoilenko had celebrated his 60s birthday.

An article in the journal "Differential Equations"  1998-01-02</P< div>

Quasiperiodic oscillations, an article in Scholarpedia

·                     An article on the web pages of The Vernadsky National Library of Ukraine, contains references to scientific publications of A. M. Samoilenko

·                     Anatoly Mykhailovych Samoilenko, an article in Wikipedia (in Ukrainian)

3 Tereschenkivska St., 01601 Kiev, Ukraine

Phone +380 44 2345316    Fax  +380 44 2352010  Email samimath.kiev.ua.

MATHEMATICS GENEALOGY PROJECT

A service of the NDSU Department of Mathematics, in association with the American Mathematical Society

## MathJax.Hub.Config({ extensions: ["tex2jax.js"], jax: ["input/TeX","output/HTML-CSS"], tex2jax: {inlineMath: [["$","$"],["\$","\$"]]} }); ANATOLIY MIKHAILOVICH SAMOILENKO

Ph.D. Institute of Mathematics, Kiev 1963

Dissertation: Mathematics Subject Classification: 34—Ordinary differential equations

Advisor: Yurii Alekseevich Mitropolsky

Students: Click here to see the students ordered by family name.

 Name School Year Descendants National University of Kyiv 1972 13 Kiev State University 1974 Kiev State University 1977 Institute of Mathematics, Kiev 1977 Kiev State University 1978 Institute of Mathematics, Kiev 1979 Institute of Mathematics, Kiev 1980 Kiev State University 1982 Kiev State University 1983 Kiev State University 1983 Kiev State University 1983 Institute of Mathematics, Kiev 1983 Institute of Mathematics, Kiev 1983 Kiev State University 1984 Kiev State University 1984 Kiev State University 1984 Kiev State University 1985 Institute of Mathematics, Kiev 1985 Institute of Mathematics, Kiev 1986 Institute of Mathematics, Kiev 1986 Kiev State University 1987 Kiev State University 1987 Institute of Mathematics, Kiev 1987 Institute of Mathematics, Kiev 1987 Institute of Mathematics, Kiev 1987 Institute of Mathematics, Kiev 1987 Institute of Mathematics, Kiev 1988 Kiev State University 1989 Institute of Mathematics, Kiev 1989 Kiev State University 1990 Kiev State University 1990 Institute of Mathematics, Kiev 1990 Kiev State University 1991 Institute of Mathematics, Kiev 1991 Institute of Mathematics, Kiev 1991 Institute of Mathematics, Kiev 1992 Institute of Mathematics, Kiev 1992 Institute of Mathematics, Kiev 1992 Institute of Mathematics, Kiev 1993 Institute of Mathematics, Kiev 1993 Institute of Mathematics, Kiev 1994 1 Institute of Mathematics, Kiev 1994 Institute of Mathematics, Kiev 1994 Institute of Mathematics, Kiev 1995 Institute of Mathematics, Kiev 1995 Kiev State University 1996 Kiev State University 1996 Institute of Mathematics, Kiev 1996 Institute of Mathematics, Kiev 1996 Institute of Mathematics, Kiev 1997 Institute of Mathematics, Kiev 1997 Institute of Mathematics, Kiev 1998 Institute of Mathematics, Kiev 1998 Kiev State University 1999 Institute of Mathematics, Kiev 1999 Institute of Mathematics, Kiev 1999 Institute of Mathematics, Kiev 1999 Institute of Mathematics, Kiev 1999 Institute of Mathematics, Kiev 1999 Institute of Mathematics, Kiev 2001 Institute of Mathematics, Kiev 2003 Institute of Mathematics, Kiev 2004 Institute of Mathematics, Kiev 2004 Institute of Mathematics, Kiev 2004 Institute of Mathematics, Kiev 2005 Institute of Mathematics, Kiev 2006

According to our current on-line database, Anatoliy Samoilenko has 66 students and 80 descendants. We welcome any additional information.If you have additional information/corrections regarding this Mathematicin, please use the update form. To submit students of this mathematician, please use the new data form.

The Mathematics Genealogy Project is in need of funds to help pay for student help and other associated costs. If you would like to contribute, please donate online using credit card or bank transfer or mail your tax-deductible contribution to Mathematics Genealogy Project, Department of Mathematics, North Dakota State University, P. O. Box 6050, Fargo, North Dakota 58108-6050.A service of the NDSU Department of Mathematics, in association with the American Mathematical Society.

# Anatoly Mykhailovych Samoilenko

### 1938 -

JOC/EFR © September 2009 The URL of this page is:
http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Samoilenko.html

# Anatoly Mykhailovych Samoilenko

### Born: 2 Jan 1938 in Potiivka, Radomyshl, Zhytomyr oblast, Ukraine

Anatoly Mykhailovych Samoilenko was born in western Ukraine. He entered Shevchenko Kiev State University in 1955 intending to read for a degree in geology. However, his interests turned to mathematics and he graduated from the Department of Mechanics and Mathematics in 1960. His first paper, entitled Application of the averaging method to the investigation of oscillations, induced by instantaneous impulses in self-oscillating systems of the second order with a small parameter (Russian), was published in the following year. He then studied graduate level courses at the Institute of Mathematics of the Academy of Sciences of the Ukraine in Kiev where he was taught by, among others, Nikolai Mitrofanovich Krylov, Nikolai Nikolaevich Bogolyubov and Yurii Alekseevich Mitropolskii. In 1963 he defended his candidate-degree thesis Application of Asymptotic Methods to the Investigation of Nonlinear Differential Equation with Irregular Right-Hand Side. He then continued to work at the Institute, supervised by Yurii Mitropolskii, towards his qualification to become a university teacher. In 1967 he defended his doctoral thesis [equivalent to the German habilitation] Some Problems of the Theory of Periodic and Quasiperiodic Systems which was examined by Vladimir Igorevich Arnold and Dmitrii Viktorovich Anosov.

Samoilenko had been appointed as a senior research fellow at the Institute of Mathematics of the Academy of Sciences of the Ukraine in Kiev in 1965, and he also taught at the Shevchenko Kiev State University from 1967. In 2000, he reminisced about his years as a young scientist at the Institute (see [2]):-

In Kiev, at the Institute of Mathematics, great scientists were my teachers ... In many fields of science, they were 'trendsetters' on the scale of the Soviet Union. It is very important for a young scientist to belong to a serious scientific school. Probably, only in this case he has a chance to obtain results at the world level. The atmosphere of a good scientific school itself stimulates a young scientist to carry out his research work at the cutting edge of modern science. And if he suddenly opens a new direction in science, then his name immediately gains recognition

In 1974 Samoilenko became a professor and headed the Integral and Differential Equations section within the Department of Mechanics and Mathematics at the Kiev State University. Four years later, in 1978, he was elected a Corresponding Member of the Ukrainian Academy of Sciences. In 1987 Samoilenko was appointed head of the Department of Ordinary Differential Equations at the Institute of Mathematics of the Ukrainian Academy of Sciences in Kiev. In the following year he became head of the Institute.

Samoilenko worked on both linear and nonlinear ordinary differential equations. In the 1960s he studied nonlinear ordinary differential equations with impulsive action publishing papers such as Systems with pulses at given times (1967). His work on boundary-value problems led to papers Numerical-analytic method for the investigation of systems of ordinary differential equations (2 parts both published in 1966) and many other innovative works. His first major monograph was Method of Accelerated Convergence in Nonlinear Mechanics (Russian) (1969) which he wrote in collaboration with his teachers Nikolai Nikolaevich Bogolyubov and Yurii Alekseevich Mitropolskii. Petryshyn writes in [3]:-

His most original contribution was the numeric-analytic method for the study of periodic solutions of differential equations with periodic right hand side. A monograph on the method of accelerated convergence, written jointly by Samoilenko, N Bogolyubov, and Yu Mitropolskii in 1969, gives an exhaustive analysis of the speed of convergence, error estimates, stability, and applications.

Eugene Leimanis writes:-

This monograph contains an account of a basic method in nonlinear mechanics and of some important results obtained by this method. The latter is known as the method of successive changes of variables and its aim is to ensure the convergence of the iteration process in solving systems of nonlinear differential equations.

An English translation of this monograph was published in 1976.

With contributions from Mikola Oleksiiovich Perestyuk, Samoilenko put the application of asymptotic methods to solve discontinuous and impulsive systems on a rigorous foundation. Their work continued over a long period and was written up in the important joint monograph Impulsive Differential Equations (Russian) in 1987. An English translation was published in 1995.

Samoilenko was to undertake several joint projects with Mitropolskii who had become the Director of the Institute of Mathematics in Kiev where he worked. In addition to the work mentioned above they worked jointly on the theory of multifrequency oscillation, then later on a system of evolutionary equations with periodic and conditional periodic coefficients. This last work was done in collaboration with D Martyniuk and the three of them published, in 1984, the monograph Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients (Russian) giving an excellent account of their results. In 1987 Samoilenko published the book Elements of the Mathematical Theory of Multifrequency Oscillations. Invariant Tori (Russian). This was translated into English and published in 1991. The authors of [2] highlight this 1987 publication:-

The beginning of this fruitful creative period was marked by [this] fundamental monograph devoted to the qualitative theory of invariant manifolds of dynamical systems. This monograph served as a foundation for the construction of the general perturbation theory of invariant tori of nonlinear dynamical systems on a torus.

Further fundamental monographs continued to be written by Samoilenko and his collaborators. For example, with Mitropolskii and V L Kulik, he wrote Investigation of Dichotomy of Linear Systems of Differential Equations Using Lyapunov Functions (Russian) published in 1990.

Samoilenko has written a series of monographs with N I Ronto. They wrote Numerical-analytic methods for the study of periodic solutions (Russian) in 1976 and followed this with a new work on similar topics entitled Numerical-analytic methods for investigating the solutions of boundary value problems (Russian) in 1986. In 1992 they published Numerical-analytic methods in the theory of boundary value problems for ordinary differential equations. The Preface begins:-

In this monograph we present new promising directions in the development of numerical-analytic methods for studying the solutions of nonlinear boundary value problems in the case of a general form of boundary conditions, problems with controlling parameters, and also boundary value problems for impulse systems. In the tradition of earlier papers, we study, from the same viewpoint, both periodic and non-periodic boundary value problems.

With Petryshyn, Samoilenko has written books such as Multifrequency oscillations of nonlinear systems (Ukrainian) (1998) which appeared in an English translation in 2004. In the same year another English book appeared, this being a joint work with A A Boichuk entitled Generalized inverse operators and Fredholm boundary-value problems:-

The book is devoted to the theory of generalized inverses of operators in a Banach space and its applications to linear and weakly nonlinear boundary-value problems for various classes of functional-differential equations, including systems of ordinary differential and difference equations, systems of differential equations with delay, systems with impulse action, and integro-differential systems.

A recent book by Samoilenko, written with Yu V Teplinskii, is Elements of the mathematical theory of evolution equations in Banach spaces (Ukranian) (2008). This book is based on lecture notes of courses given by the authors to graduate and postgraduate students at the University of Kiev.

Although we have taken a brief look at Samoilenko's mathematics by looking at a few of the monographs he has written, we must not give the impression that these monographs are his only publications. Nothing could be further from the truth, for MathSciNet lists over 400 publications by Samoilenko. Although some of his publications are single-author, nevertheless, he has nearly 200 co-authors.

As well as having a reputation as an outstanding researcher, Samoilenko is renowned as a fine teacher. The book Differential equations : Examples and problems (Russian) (1984) written with S A Krivosheya and N A Perestyuk contains the following authors' summary:-

We give the solutions of typical problems in a course on ordinary differential equations. The text is structured so as to develop practical skills in students for solving and investigating differential equations describing evolutionary processes in different fields of natural science. Special attention is given to questions that are inadequately discussed (or entirely absent) in existing textbooks, and with which students, as experience shows, are not very familiar. The text is intended for students in mathematical physics departments of universities, technical schools and pedagogical institutes.

Another aspect of Samoilenko's contributions is his editorial work for many different journals. He is on the Editorial Board of: Nonlinear Oscillations; the Ukrainian Mathematical Journal; Reports of the Ukrainian Academy of Sciences; the Bulletin of the Ukrainian Academy of Sciences; the Ukrainian Mathematical Bulletin; In the World of Mathematics; the Memoirs on Differential Equations and Mathematical Physics; the Miskolc Mathematical Notes; the Georgian Mathematical Journal; and the International Journal of Dynamical Systems and Differential Equations.

Samoilenko has received, and continues to receive, widespread recognition for his outstanding achievements. The honours he has received include: the Ostrovskii Republican Prize (1968), the Krylov Prize (1981), the State Prize of Ukraine for science and technology (1985), a second award of the State Prize (1996), the Bogolyubov Prize (1998), the Lavrentev Prize (2000), the Ostrogradskii Silver Medal (2001), and the Ostrogradski Prize of the Ukrainian Academy of Sciences (2004). He was given the honorary title of "Soros Professor" in 1996 and, two years later, the title of the Honoured Worker of Science and Technology of the Ukraine. He has been elected to the European Academy of Sciences (2002) and the Shevchenko Scientific Society. In 2006 he was elected a Corresponding Member of Accademia Peloritana dei Pericolanti in Messina, Sicily.

Anatoly Mykhailovych Samoilenko is married to Lypa Hryhorivna; they have a son Anatolii who is a geneticist with a doctorate from Göttingen University. Lypa Hryhorivna is also scientist who worked for many years at the Institute of Cybernetics of the Ukrainian Academy of Sciences.

Article by: J J O'Connor and E F Robertson

Click on this link to see a list of the Glossary entries for this page

 List of References (3 books/articles)

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### Born: 2 Jan 1938 in Potiivka, Radomyshl, Zhytomyr oblast, Ukraine

Anatoly Mykhailovych Samoilenko was born in western Ukraine. He entered Shevchenko Kiev State University in 1955 intending to read for a degree in geology. However, his interests turned to mathematics and he graduated from the Department of Mechanics and Mathematics in 1960. His first paper, entitled Application of the averaging method to the investigation of oscillations, induced by instantaneous impulses in self-oscillating systems of the second order with a small parameter (Russian), was published in the following year. He then studied graduate level courses at the Institute of Mathematics of the Academy of Sciences of the Ukraine in Kiev where he was taught by, among others, Nikolai Mitrofanovich Krylov, Nikolai Nikolaevich Bogolyubov and Yurii Alekseevich Mitropolskii. In 1963 he defended his candidate-degree thesis Application of Asymptotic Methods to the Investigation of Nonlinear Differential Equation with Irregular Right-Hand Side. He then continued to work at the Institute, supervised by Yurii Mitropolskii, towards his qualification to become a university teacher. In 1967 he defended his doctoral thesis [equivalent to the German habilitation] Some Problems of the Theory of Periodic and Quasiperiodic Systems which was examined by Vladimir Igorevich Arnold and Dmitrii Viktorovich Anosov.

Samoilenko had been appointed as a senior research fellow at the Institute of MathematicsKiev in 1965, and he also taught at the Shevchenko Kiev State University from 1967. In 2000, he reminisced about his years as a young scientist at the Institute (see [2]):-

In Kiev, at the Institute of Mathematics, great scientists were my teachers ... In many fields of science, they were 'trendsetters' on the scale of the Soviet Union. It is very important for a young scientist to belong to a serious scientific school. Probably, only in this case he has a chance to obtain results at the world level. The atmosphere of a good scientific school itself stimulates a young scientist to carry out his research work at the cutting edge of modern science. And if he suddenly opens a new direction in science, then his name immediately gains recognition

In 1974 Samoilenko became a professor and headed the Integral and Differential Equations section within the Department of Mechanics and Mathematics at the Kiev State University. Four years later, in 1978, he was elected a Corresponding Member of the Ukrainian Academy of Sciences. In 1987 Samoilenko was appointed head of the Department of Ordinary Differential Equations at the Institute of Mathematics of the Ukrainian Academy of Sciences in Kiev. In the following year he became head of the Institute.

Samoilenko worked on both linear and nonlinear ordinary differential equations. In the 1960s he studied nonlinear ordinary differential equations with impulsive action publishing papers such as Systems with pulses at given times (1967). His work on boundary-value problems led to papers Numerical-analytic method for the investigation of systems of ordinary differential equations (2 parts both published in 1966) and many other innovative works. His first major monograph was Method of Accelerated Convergence in Nonlinear Mechanics (Russian) (1969) which he wrote in collaboration with his teachers Nikolai Nikolaevich Bogolyubov and Yurii Alekseevich Mitropolskii. Petryshyn writes in [3]:-

His most original contribution was the numeric-analytic method for the study of periodic solutions of differential equations with periodic right hand side. A monograph on the method of accelerated convergence, written jointly by Samoilenko, N Bogolyubov, and Yu Mitropolskii in 1969, gives an exhaustive analysis of the speed of convergence, error estimates, stability, and applications.

Eugene Leimanis writes:-

This monograph contains an account of a basic method in nonlinear mechanics and of some important results obtained by this method. The latter is known as the method of successive changes of variables and its aim is to ensure the convergence of the iteration process in solving systems of nonlinear differential equations.

An English translation of this monograph was published in 1976.

With contributions from Mikola Oleksiiovich Perestyuk, Samoilenko put the application of asymptotic methods to solve discontinuous and impulsive systems on a rigorous foundation. Their work continued over a long period and was written up in the important joint monograph Impulsive Differential Equations (Russian) in 1987. An English translation was published in 1995.

Samoilenko was to undertake several joint projects with Mitropolskii who had become the Director of the Institute of Mathematics in Kiev where he worked. In addition to the work mentioned above they worked jointly on the theory of multifrequency oscillation, then later on a system of evolutionary equations with periodic and conditional periodic coefficients. This last work was done in collaboration with D Martyniuk and the three of them published, in 1984, the monograph Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients (Russian) giving an excellent account of their results. In 1987 Samoilenko published the book Elements of the Mathematical Theory of Multifrequency Oscillations. Invariant Tori (Russian). This was translated into English and published in 1991. The authors of [2] highlight this 1987 publication:-

The beginning of this fruitful creative period was marked by [this] fundamental monograph devoted to the qualitative theory of invariant manifolds of dynamical systems. This monograph served as a foundation for the construction of the general perturbation theory of invariant tori of nonlinear dynamical systems on a torus.

Further fundamental monographs continued to be written by Samoilenko and his collaborators. For example, with Mitropolskii and V L Kulik, he wrote Investigation of Dichotomy of Linear Systems of Differential Equations Using Lyapunov Functions (Russian) published in 1990.

Samoilenko has written a series of monographs with N I Ronto. They wrote Numerical-analytic methods for the study of periodic solutions (Russian) in 1976 and followed this with a new work on similar topics entitled Numerical-analytic methods for investigating the solutions of boundary value problems (Russian) in 1986. In 1992 they published Numerical-analytic methods in the theory of boundary value problems for ordinary differential equations. The Preface begins:-

In this monograph we present new promising directions in the development of numerical-analytic methods for studying the solutions of nonlinear boundary value problems in the case of a general form of boundary conditions, problems with controlling parameters, and also boundary value problems for impulse systems. In the tradition of earlier papers, we study, from the same viewpoint, both periodic and non-periodic boundary value problems.

With Petryshyn, Samoilenko has written books such as Multifrequency oscillations of nonlinear systems (Ukrainian) (1998) which appeared in an English translation in 2004. In the same year another English book appeared, this being a joint work with A A Boichuk entitled Generalized inverse operators and Fredholm boundary-value problems:-

The book is devoted to the theory of generalized inverses of operators in a Banach space and its applications to linear and weakly nonlinear boundary-value problems for various classes of functional-differential equations, including systems of ordinary differential and difference equations, systems of differential equations with delay, systems with impulse action, and integro-differential systems.

A recent book by Samoilenko, written with Yu V Teplinskii, is Elements of the mathematical theory of evolution equations in Banach spaces (Ukranian) (2008). This book is based on lecture notes of courses given by the authors to graduate and postgraduate students at the University of Kiev.

Although we have taken a brief look at Samoilenko's mathematics by looking at a few of the monographs he has written, we must not give the impression that these monographs are his only publications. Nothing could be further from the truth, for MathSciNet lists over 400 publications by Samoilenko. Although some of his publications are single-author, nevertheless, he has nearly 200 co-authors.

As well as having a reputation as an outstanding researcher, Samoilenko is renowned as a fine teacher. The book Differential equations : Examples and problems (Russian) (1984) written with S A Krivosheya and N A Perestyuk contains the following authors' summary:-

We give the solutions of typical problems in a course on ordinary differential equations. The text is structured so as to develop practical skills in students for solving and investigating differential equations describing evolutionary processes in different fields of natural science. Special attention is given to questions that are inadequately discussed (or entirely absent) in existing textbooks, and with which students, as experience shows, are not very familiar. The text is intended for students in mathematical physics departments of universities, technical schools and pedagogical institutes.

Another aspect of Samoilenko's contributions is his editorial work for many different journals. He is on the Editorial Board of: Nonlinear Oscillations; the Ukrainian Mathematical Journal; Reports of the Ukrainian Academy of Sciences; the Bulletin of the Ukrainian Academy of Sciences; the Ukrainian Mathematical Bulletin; In the World of Mathematics; the Memoirs on Differential Equations and Mathematical Physics; the Miskolc Mathematical Notes; the Georgian Mathematical Journal; and the International Journal of Dynamical Systems and Differential Equations.

Samoilenko has received, and continues to receive, widespread recognition for his outstanding achievements. The honours he has received include: the Ostrovskii Republican Prize (1968), the Krylov Prize (1981), the State Prize of Ukraine for science and technology (1985), a second award of the State Prize (1996), the Bogolyubov Prize (1998), the Lavrentev Prize (2000), the Ostrogradskii Silver Medal (2001), and the Ostrogradski Prize of the Ukrainian Academy of Sciences (2004). He was given the honorary title of "Soros Professor" in 1996 and, two years later, the title of the Honoured Worker of Science and Technology of the Ukraine. He has been elected to the European Academy of Sciences (2002) and the Shevchenko Scientific Society. In 2006 he was elected a Corresponding Member of Accademia Peloritana dei Pericolanti in Messina, Sicily.

Anatoly Mykhailovych Samoilenko is married to Lypa Hryhorivna; they have a son Anatolii who is a geneticist with a doctorate from Göttingen University. Lypa Hryhorivna is also scientist who worked for many years at the Institute of Cybernetics of the Ukrainian Academy of Sciences.

Article by: J J O'Connor and E F Robertson

Click on this link to see a list of the Glossary entries for this page

 List of References (3 books/articles)

 Other Web sites (Chronologically) (Alphabetically)

# /* <![CDATA[ */ document.writeln("\x3cdiv id=\"localNotice\"\x3e\x3cp\x3e\x3c/p\x3e\n\x3c/div\x3e"); /* ]]> */ Anatoly Samoilenko

Anatoly Samoilenko (born 1938) is a Ukrainian mathematician. He graduated from the University of Kiev in 1960, and then taught there from 1967 to 1988. His most original contribution was the numeric-analytic method for the study of periodic solutions of differential equations with periodic right-hand side.

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# Самойленко Анатолій Михайлович

Матеріал з Вікіпедії — вільної енциклопедії.

Перейти до: навігація, пошук  Для інших людей з ім'ям Самойленко, дивіться Самойленко.

Анато́лій Миха́йлович Само́йленко

(2 січня 1938, с. Потіївка, тепер Радомишльського району Житомирської області) — український математик. Від 1978 член-кореспондент, тепер академік НАН України. Директор Інституту математики НАН України.

[сховати]

## [ред.] Огляд наукової діяльності

Академік НАН України А. М. Самойленко — засновник наукової школи з теорії багаточастотних коливань та теорії імпульсних систем, що визнана математичними центрами світу, один з провідних спеціалістів у галузі звичайних диференціальних рівнянь та теорії нелінійних коливань.

З 1988 року А. М. Самойленко є директором Інституту математики НАН України, з 2006 року — академіком-секретарем Відділення математики НАН України. 1978 р. його було обрано членом-кореспондентом, а 1995 р. — дійсним членом Національної академії наук України. З 2002 р. є дійсним членом Європейської АН.

А. М. Самойленко — автор біля 400 наукових праць, серед яких 30 монографій та 15 учбових посібників. Більшість його робіт перекладено за кордоном.

Наукові інтереси А. М. Самойленка охоплюють широке коло складних та актуальних математичних проблем. Міжнародне визнання його досліджень підтверджують загальновизнані в світовій математичній літературі терміни: «чисельно-аналітичний метод Самойленка», «функція Гріна—Самойленка» та інші. Опубліковані ним монографії внесли фундаментальний вклад у математику та її викладання.

А. М. Самойленко приділяє велику увагу підготовці високо-кваліфікованих наукових кадрів. Серед його учнів — 20 докторів та 72 кандидатів фізико-математичних наук, які успішно працюють у багатьох математичних центрах ряду країн. Професор А. М. Самойленко викладає в Київському національному університеті ім. Т. Шевченка та Національному технічному університеті України «КПІ». Він є членом Українського та Американського математичних товариств, членом редакційних колегій українських та зарубіжних журналів, серед них «Український математичний журнал», «Доповіді Національної академії наук України», «Нелінійні коливання», «У світі математики», «Nonlinear Mathematical Physics», «Memoirs on Differential Equations and Mathematical Physics» та інші.

А. М. Самойленко нагороджений Орденом Дружби народів (1984) та Орденом «За заслуги» III ступеня (2003), Орденом князя Ярослава Мудрого V ступеня (2008), Почесною Грамотою Президії Верховної Ради України (1987), є лауреатом Державних премій України в галузі науки і техніки (1985, 1996), Республіканської комсомольської премії ім. М. Островського (1968), премій Академії наук України ім. М. Крилова (1981) та М. Боголюбова (1998), премій НАН України ім. М. Лаврентьєва (2000), М. Остроградського (2004) та Ю. Митропольського (2010), «Соросівський професор» (1998), Заслужений діяч науки і техніки України (1998).

## [ред.] Біографічні відомості

• З 1996 р. і до ц.ч. — завідувач кафедри диференціальних рівнянь фізико-математичного факультету НТУУ «КПІ».

## [ред.] Наукові ступені та звання

• 1963 р. — захист кандидатської дисертації «Применение асимптотических методов для исследования нелинейных дифференциальных уравнений с нерегулярной правой частью».
• 1968 р. — захист докторської дисертації «Некоторые вопросы теории периодических и квазипериодических систем».

……………………………………………………………………...……………………………………………………………

GREAT MEN NEVER DIE,     GREAT MEN NEVER DIE,     GREAT MEN NEVER DIE

## MathJax.Hub.Config({ extensions: ["tex2jax.js"], jax: ["input/TeX","output/HTML-CSS"], tex2jax: {inlineMath: [["$","$"],["\$","\$"]]} }); Yurii Alekseevich Mitropolsky

Ph.D. Kiev State University

Dissertation:

## Advisor: Nikolay Nikolaevich Bogolyubov

 Name School Year Descendants Kiev State University 1953 Kiev State University 1954 Institute of Mathematics, Kiev 1957 Kiev State University 1958 Institute of Mathematics, Kiev 1958 Institute of Mathematics, Kiev 1961 Institute of Mathematics, Kiev 1961 Institute of Mathematics, Kiev 1961 Institute of Mathematics, Kiev 1962 Institute of Mathematics, Kiev 1963 Institute of Mathematics, Kiev 1963 80 Institute of Mathematics, Kiev 1964 Institute of Mathematics, Kiev 1964 Institute of Mathematics, Kiev 1965 Institute of Mathematics, Kiev 1965 Institute of Mathematics, Kiev 1965 Institute of Mathematics, Kiev 1965 Institute of Mathematics, Kiev 1965 Institute of Mathematics, Kiev 1966 Institute of Mathematics, Kiev 1966 Institute of Mathematics, Kiev 1966 Institute of Mathematics, Kiev 1967 7 Institute of Mathematics, Kiev 1967 Institute of Mathematics, Kiev 1967 Institute of Mathematics, Kiev 1967 Institute of Mathematics, Kiev 1968 Institute of Mathematics, Kiev 1968 Institute of Mathematics, Kiev 1968 Institute of Mathematics, Kiev 1968 Institute of Mathematics, Kiev 1968 Institute of Mathematics, Kiev 1969 Institute of Mathematics, Kiev 1969 Institute of Mathematics, Kiev 1969 Institute of Mathematics, Kiev 1969 Institute of Mathematics, Kiev 1969 Institute of Mathematics, Kiev 1970 Institute of Mathematics, Kiev 1970 Institute of Mathematics, Kiev 1970 Institute of Mathematics, Kiev 1971 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1972 Institute of Mathematics, Kiev 1973 Institute of Mathematics, Kiev 1975 Institute of Mathematics, Kiev 1975 Institute of Mathematics, Kiev 1975 Institute of Mathematics, Kiev 1975 Institute of Mathematics, Kiev 1975 Institute of Mathematics, Kiev 1977 Kiev State University 1978 Institute of Mathematics, Kiev 1978 Institute of Mathematics, Kiev 1980 Institute of Mathematics, Kiev 1980 Institute of Mathematics, Kiev 1981 Institute of Mathematics, Kiev 1982 Institute of Mathematics, Kiev 1982 Institute of Mathematics, Kiev 1982 Institute of Mathematics, Kiev 1982 Institute of Mathematics, Kiev 1982 Institute of Mathematics, Kiev 1982 Kiev State University 1983 Institute of Mathematics, Kiev 1983 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1984 Institute of Mathematics, Kiev 1985 Institute of Mathematics, Kiev 1985 Institute of Mathematics, Kiev 1986 Institute of Mathematics, Kiev 1987 Institute of Mathematics, Kiev 1987 2 Institute of Mathematics, Kiev 1988 1 Institute of Mathematics, Kiev 1988 Kiev State University 1989 Institute of Mathematics, Kiev 1989 Institute of Mathematics, Kiev 1989 Institute of Mathematics, Kiev 1991 Institute of Mathematics, Kiev 1992 Institute of Mathematics, Kiev 1994 Institute of Mathematics, Kiev 2002

According to our current on-line database, Yurii Mitropolsky has 87 students and 176 descendants.
We welcome any additional information. If you have additional information or corrections regarding this mathematician, please use the update form. To submit students of this mathematician, please use the new data form. The Mathematics Genealogy Project is in need of funds to help pay for student help and other associated costs. If you would like to contribute, please donate online using credit card or bank transfer or mail your tax-deductible contribution. To: Mathematics Genealogy Project, Department of Mathematics, North Dakota State University, P. O. Box 6050, Fargo, North Dakota 58108-6050.

# /* <![CDATA[ */ document.writeln("\x3cdiv id=\"localNotice\"\x3e\x3cp\x3e\x3c/p\x3e\n\x3c/div\x3e"); /* ]]> */ Yurii Mitropolskiy

Yurii Alekseevich Mitropolskiy (3 January 1917 — 14 June 2008) was a renowned Soviet, Ukrainian mathematician known for his contributions to the fields of dynamical systems and nonlinear oscillations. Yurii Mitropolskiy was a student of a theoretical physicist and mathematician Nikolay Bogolyubov.

Books

1.        N. N. Bogoliubov and Y. A. Mitropolski. Asymptotic methods in the theory of non-linear oscillations. New York: Gordon and Breach, 1961 (translated from Russian).

2.        N. N. Bogoljubov, Ju. A. Mitropoliskii, and A. M. Samoilenko. Methods of accelerated convergence in nonlinear mechanics. New York: Springer-Verlag, 1976 (translated from Russian).

3.        Yu. A. Mitropolaky and A. K. Lopatin. Nonlinear mechanics, groups and symmetry. Dordrecht; Boston: Kluwer Academic Publishers, 1995. ISBN 079233339X.

4.        Yu. A. Mitropolʹskii. Problems of the asymptotic theory of nonstationary vibrations. Jerusalem: Israel Program for Scientific Translations, 1965.

5.        Yu. A. Mitropolsky, A. M. Samoilenko, and D. I. Martinyuk. Systems of evolution equations with periodic and quasiperiodic coefficients. Dordrecht; Boston: Kluwer Academic, 1993. ISBN 0792320549.

6.        Integrable dynamical systems (coauthor).

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## (Bogolyubov means one who loves God-Almighty)

Ph.D. Kiev State University

Dissertation:

Advisor: Nikolay Mitrofanovich Krylov

Students: Click here to see the students ordered by family name.

 Name School Year Descendants Kiev State University 176 Steklov Institute of Mathematics Steklov Institute of Mathematics Steklov Institute of Mathematics 1 1942 211 Institute of Mathematics, Tashkent 1942 84 Kiev State University 1950 Kiev State University 1950 2 Steklov Institute of Mathematics 1953 1 Kiev State University 1955 Steklov Institute of Mathematics 1964

According to our current on-line database, Nikolay Bogolyubov has 11 students and 486 descendants. We welcome any additional information. Mathematics Genealogy Project is in need of funds to help pay for student help and other The associated costs. If you would like to contribute, please donate online using credit card or bank transfer or mail your tax-deductible contribution to Mathematics Genealogy Project Department of Mathematics North Dakota State University P. O. Box 6050 Fargo, North Dakota 58108-6050.

# /* <![CDATA[ */ document.writeln("\x3cdiv id=\"localNotice\"\x3e\x3cp\x3e\x3c/p\x3e\n\x3c/div\x3e"); /* ]]> */ NIKOLAY BOGOLYUBOV(means, one who loves God-Almighty)

 Nikolay Nikolaevich Bogolyubov Born 21 August 1909 Died 13 February 1992 (aged 82)Moscow, Russia Nationality Fields Institutions Academy of Science of Ukrainian SSR, Moscow State University Doctoral students Known for significant contribution to nonlinear mechanics, quantum field theory, statistical mechanics, superconductivity, superfluidity; Notable awards Stalin Prize (1947, 1953) USSR State Prize (1984) Lenin Prize (1958) Heineman Prize (1966) Hero of Socialist Labor (1969, 1979) Max Planck Medal (1973) Lomonosov Gold Medal (1985) Dirac Medal (1992) Notes:   a close friend of Pakistani nuclear physicist dr. Abdullah Sadiq

Nikolay Nikolaevich Bogolyubov (another spelling Bogoliubov, Russian: Николай Николаевич БоголюбовМикола Миколайович Боголюбов; 21 August 1909, Nizhny Novgorod – 13 February 1992, Moscow) was a Russian and Ukrainian Soviet mathematician and theoretical physicist known for a significant contribution to quantum field theory, classical and quantum statistical mechanics, and to the theory of dynamical systems; a recipient of the Dirac Prize (1992).

## BIOGRAPHY: Early life (1909–1921)

Nikolay Bogolyubov was born on 21 August 1909 in Nizhny Novgorod, Russia, in the family of a priest of Russian Orthodox Church, teacher of theology, psychology and philosophy Nikolay Mikhailovich Bogolyubov and Ol'ga Nikolaevna, teacher of music. The Soviet Union regulations issued soon after the October Revolution in 1917 did not allow for children of priests to obtain a good education, and in 1921 the family of Nikolay Bogolyubov moved to Kiev, where these regulations did not work.

### Kiev (1921–?)

In Kiev Nikolay Bogolyubov began to actively study physics and mathematics. He attended research seminars in Kiev University and soon started to work under the supervision of a famous mathematician Nikolay Krylov. In 1924, at the age of 13, Nikolay Bogolyubov wrote his first published scientific paper On the behavior of solutions of linear differential equations at infinity. In 1925 he entered Ph.D. program at the Academy of Sciences of Ukrainian SSR and obtained the degree of Kandidat Nauk (Candidat of Sciences, equivalent to Ph.D.) in 1928, at the age of 19, with the Ph.D. thesis On direct methods of variational calculus. In 1930, at the age of 21, he obtained the degree of Doktor nauk (Doctor of Sciences, equivalent to Habilitation), the highest degree in the Soviet Union, which requires to make a significant independent contribution to the science after Ph.D.

This early period of Bogolyubov's work in science was concerned with such mathematical problems as direct methods of the calculus of variations, the theory of almost periodic functions, methods of approximate solution of differential equations, and dynamical systems. This earlier research had already earned him wide recognition. One of his essays was awarded the Bologna Academy of Sciences Prize in 1930, and the author was awarded the erudite degree of doctor of mathematics '. This was the period when the great scientific rise of the young Nikolai Bogolyubov began, later producing new multiple scientific trends in modern mathematics, physics, and mechanics.

Since 1931, Krylov and Bogolyubov worked together on the problems of nonlinear mechanics and nonlinear oscillations. They were the key figures in the "Kiev school of nonlinear oscillation research", where their cooperation resulted in the paper "On the quasiperiodic solutions of the equations of nonlinear mechanics" (1934) and the book Introduction to Nonlinear Mechanics (1937; translated to English in 1947) leading to a creation of a large field of non-linear mechanics.

And this can explain, as the authors believe, the need to shape the collection of problems of non-linear perturbation theory into a special science, which could be named NON-LINEAR MECHANICS.           N. M. Krylov and N. N. Bogolyubov, New methods in non-linear mechanics, ONTI GTTI, Moscow-Leningrad, 1934

Distinctive features of the Kiev School approach included an emphasis on the computation of solutions (not just a proof of its existence), approximations of periodic solutions, use of the invariant manifolds in the phase space, and applications of a single unified approach to many different problems. From a control engineering point of view, the key achievement of the Kiev School was the development by Krylov and Bogolyubov of the describing function method for the analysis of nonlinear control problems.

In the period 1928—1973, Nikolay Bogolyubov worked in the Institute for Theoretical Physics of the National Academy of Sciences of Ukraine holding the position of the Director of the institute since 1965. He lectured in the Kiev University in the period 1936—1959.

### In evacuation (1941–1943)

After the German attack against the Soviet Union on 22 June 1941 (beginning of the Great Patriotic War), most institutes and universities from west part of Russia were evacuated into east regions far from the battle lines. Nikolay Bogolyubov moved to Ufa, where he became Head of the Departments of Mathematical Analysis at Ufa State Aviation Technical University and at Ufa Pedagogical Institute, remaining on these positions during the period of July 1941 – August 1943.

### Moscow (1943–?)

In autumn 1943, Bogolyubov came from evacuation to Moscow and on 1 November 1943 he accepted a position in the Department of Theoretical Physics at the Moscow State University (MSU). At that time the Head of the Department was Anatoly Vlasov (for a short period in 1944 the Head of the Department was Vladimir Fock). Theoretical physicists working in the department in that period included Dmitry Ivanenko, Arsenij Sokolov, and other famous physicists.

In the period 1943–1946, Bogolyubov's resesarch was essentially concerned with the theory of stochastic processes and asymptotic methods. In his work "?" a simple example of an anharmonic oscillator evolving under the force of the form as a superposition of incoherent sinusoidal oscillations with continuous spectrum was used to show that depending on a specific approximation time scale the evolution of the system can be either deterministic, or a stochastic process satisfying Fokker-Planck equation, or even a process which is neither deterministic nor stochastic. In other words, he showed that depending on the choice of the time scale for the corresponding approximations the same stochastic process can be regarded as both dynamical and Markovian, and in the general case as a non-Markov process. This work was the first to introduce the notion of time hierarchy in non-equilibrium statistical physics which then became the key concept in all further development of the statistical theory of irreversible processes.

In 1945, Bogolyubov proved a fundamental theorem on the existence and basic properties of a one-parameter integral manifold for a system of non-linear differential equations. He investigated periodic and quasi-periodic solutions lying on a one-dimensional manifold, thus forming the foundation for a new method of non-linear mechanics, the method of integral manifolds.

In 1946, he published in JETP two works on equilibrium and non-equilibrium statistical mechanics which became the essence of his fundamental monograph Problems of dynamical theory in statistical physics (Moscow, 1946).

On 26 January 1953, Nikolay Bogolyubov became the Head of the Department of Theoretical Physics at MSU, after Anatoly Vlasov decided to leave the position on January 2, 1953.

### Steklov Institute (1947–?)

In 1947, Nikolay Bogolyubov organized and became the Head of the Department of Theoretical Physics at the Steklov Mathematical Institute. In 1969, the Department of Theoretical Physics was separated into the Departments of Mathematical Physics (Head Vasily Vladimirov), of Statistical Mechanics, and of Quantum Field Theory (Head Mikhail Polivanov). While working in the Steklov Institute, Nikolay Bogolyubov and his school contributed to science with many important works including works on renormalization theory, renormalization group, axiomatic S-matrix theory, and works on the theory of dispersion relations.

In the late 1940s and 1950s, Bogoliubov worked on the theory of superfluidity and superconductivity, where he developed the method of BBGKY hierarchy for a derivation of kinetic equations, formulated microscopic theory of superfluidity, and made other essential contributions. Later he worked on quantum field theory, where introduced the Bogoliubov transformation, formulated and proved the Bogoliubov's edge-of-the-wedge theorem and Bogoliubov-Parasyuk theorem (with Ostap Parasyuk), and obtained other significant results. In the 1960s his attention turned to the quark model of hadrons; in 1965 he was among the first scientists to study the new quantum number color charge.

In 1946, Nikolay Bogoliubow was elected as a Corresponding Member of the USSR Academy of Sciences. In 1948, he became Academician of the National Academy of Sciences of Ukraine and in 1953 Academician of the USSR Academy of Sciences.

Dubna (1956–1992)

Since 1956, he worked in the Joint Institute for Nuclear Research (JINR), Dubna, Russia, where he was a founder (together with Dmitry Blokhintsev) and the first director of the Laboratory of Theoretical Physics. This laboratory, where Nikolay Bogolyubov worked for a long time, has traditionally been the home of the prominent Russian schools in quantum field theory, theoretical nuclear physics, statistical physics, and nonlinear mechanics. Nikolay Bogolyubov was Director of the JINR in the period 1966—1988.

### Family

His son Nikolay Boglyubov (jr) is a theoretical physicist working in the fields of mathematical physics and statistical mechanics.

### Students

Nikolay Bogoliubov was a scientific supervisor[1] of Yurii Mitropolskiy, Dmitry Shirkov, Selim Krein, Iosif Gihman, Tofik Mamedov, Kirill Gurov, Mikhail Polivanov, Naftul Polsky, Galina Biryuk, Sergei Tyablikov, Dmitry Zubarev, Vladimir Kadyshevsky, and many other students. His method of teaching, based on creation of a warmth atmosphere, politeness and kindness, is famous in Russia and is known as the "Bogoliubov approach".

### Awards

Nikolay Bogolyubov was a recipient of various highest USSR honors and international awards, including

Joint Institute for Nuclear Research awards two prizes in memory of Nikolay Bogolyubov: The Bogolyubov Prize for scientists with outstanding contribution to theoretical physics and applied mathematics and the Bogolyubov Prize for young scientists. National Academy of Sciences of Ukraine awards the Bogolyubov Prize for scientists with outstanding contribution to theoretical physics and applied mathematics.

The central street of Dubna is named in the memory of Nikolay Bogolyubov as Bogolyubov prospect (Russian: проспект Боголюбова).

Bogolyubov year

In 2009, the 100th anniversary of the birth of Nikolay Bogolyubov was celebrated with two conferences organized in the memory of Nikolay Bogolyubov in Russia and Ukraine:

1.        International Bogolyubov Conference: Problems of Theoretical and Mathematical Physics 21–27 August, Moscow-Dubna, Russia.

2.        Bogolyubov Kyiv Conference: Modern Problems of Theoretical and Mathematical Physics 15–18 September, Kiev, Ukraine.

## Research

Fundamental works of Nikolay Bogoliubov were devoted to asymptotic methods of nonlinear mechanics, quantum field theory, statistical field theory, variational calculus, approximation methods in mathematical analysis, equations of mathematical physics, theory of stability, theory of dynamical systems, and to many other areas.

He built a new theory of scattering matrices, formulated the concept of microscopical causality, obtained important results in quantum electrodynamics, and investigated on the basis of the edge-of-the-wedge theorem the dispersion relations in elementary particle physics. He suggested a new synthesis of the Bohr theory of quasiperiodic functions and developed methods for asymptotic integration of nonlinear differential equations which describe oscillating processes.

### Mathematics and non-linear mechanics

• In 1932—1943, in the early stage of his career, he worked in collaboration with Nikolay Krylov on mathematical problems of nonlinear mechanics and developed mathematical methods for asymptotic integration of non-linear differential equations. He also applied these methods to problems of statistical mechanics.
• In 1937, jointly with Nikolay Krylov he proved the Krylov-Bogoliubov theorems.[2]
• In 1956, at the International Conference on Theoretical Physics in Seattle, USA (September, 1956), he presented the formulation and the first proof of the edge-of-the-wedge theorem. This theorem in the theory of functions of several complex variables has important implications to the dispersion relations in elementary particle physics.

### Statistical mechanics

• 1939 Jointly with Nikolay Krylov gave the first consistent microscopic derivation of the Fokker-Planck equation in the single scheme of classical and quantum mechanics.[3]
• 1945 Suggested the idea of hierarchy of relaxation times, which is significant for statistical theory of irreversible processes.
• 1946 Developed a general method for a microscopic derivation of kinetic equations for classical systems.[4][5] The method was based on the hierarhy of equations for multi-particle distribution functions known now as Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy.
• 1947 Jointly with K. P. Gurov extended this method to the derivation of kinetic equations for quantum systems on the basis of the quantum BBGKY hierarchy.[6]
• 1947—1948 Introduced kinetic equations in the theory of superfluidity,[7][8] computed the excitation spectrum for a weakly imperfect Bose gas, showed that this spectrum has the same properties as spectrum of Helium II, and used this analogy for a theoretical description of superfluidity of Helium II.
• 1958 Formulated a microscopic theory of superconductivity[9] and established an analogy between superconductivity and superfluidity phenomena; this contribution was discussed in details in the book A New Method in the Theory of Superconductivity (co-authors V. V. Tolmachev and D. V. Shirkov, Moscow, Academy of Sciences Press, 1958).

## Publications: Main article: List of works of Nikolay Bogolyubov

### Books

Mathematics and Non-linear Mechanics:

1.        N. M. Krylov and N. N. Bogoliubov (1934): On various formal expansions of non-linear mechanics. Kiev, Izdat. Zagal'noukr. Akad. Nauk. (Ukrainian)

2.        N. M. Krylov and N. N. Bogoliubov (1947): Introduction to Nonlinear Mechanics. Princeton, Princeton University Press.

3.        N. N. Bogoliubov, Y. A. Mitropolsky (1961): Asymptotic Methods in the Theory of Non-Linear Oscillations. New York, Gordon and Breach.

Statistical Mechanics:

1.        N. N. Bogoliubov (1945): On Some Statistical Methods in Mathematical Physics. Kyiv (Russian).

2.        N. N. Bogoliubov, V. V. Tolmachev, D. V. Shirkov (1959): A New Method in the Theory of Superconductivity. New York, Consultants Bureau.

3.        N. N. Bogoliubov (1960): Problems of Dynamic Theory in Statistical Physics. Oak Ridge, Tenn., Technical Information Service.

4.        N. N. Bogoliubov (1967—1970): Lectures on Quantum Statistics. Problems of Statistical Mechanics of Quantum Systems. New York, Gordon and Breach.

5.        N. N. Bogolubov and N. N. Bogolubov, Jnr. (1992): Introduction to Quantum Statistical Mechanics. Gordon and Breach. ISBN 2-88124-879-9.

Quantum Field Theory:

1.        N. N. Bogoliubov, B. V. Medvedev, M. K. Polivanov (1958): Problems in the Theory of Dispersion Relations. Institute for Advanced Study, Princeton.

2.        N. N. Bogoliubov, D. V. Shirkov (1959): The Theory of Quantized Fields. New York, Interscience. The first text-book on the renormalization group theory.

3.        N. N. Bogoliubov, A. A. Logunov and I. T. Todorov (1975): Introduction to Axiomatic Quantum Field Theory. Reading, Mass.: W. A. Benjamin, Advanced Book Program. ISBN 978-0-8053-0982-9. ISBN 0-8053-0982-9.

4.        N. N. Bogoliubov, D. V. Shirkov (1980): Introduction to the Theory of Quantized Field. John Wiley & Sons Inc; 3rd edition. ISBN 0-471-04223-4. ISBN 978-0-471-04223-5.

5.        N. N. Bogoliubov, D. V. Shirkov (1982): Quantum Fields. Benjamin-Cummings Pub. Co., ISBN 0-8053-0983-7.

6.        N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, I. T. Todorov (1990): General Principles of Quantum Field Theory. Dordrecht [Holland]; Boston, Kluwer Academic Publishers. ISBN 0-7923-0540-X. ISBN 978-0-7923-0540-8.

Selected works

1.        N. N. Bogoliubov, Selected Works. Part I. Dynamical Theory. Gordon and Breach, New York, 1990. ISBN 2-88124-752-0, ISBN 978-2-88124-752-1.

2.        N. N. Bogoliubov, Selected Works. Part II. Quantum and Classical Statistical Mechanics. Gordon and Breach, New York, 1991. ISBN 2-88124-768-7.

3.        N. N. Bogoliubov, Selected Works. Part III. Nonlinear Mechanics and Pure Mathematics. Gordon and Breach, Amsterdam, 1995. ISBN 2-88124-918-3.

4.        N. N. Bogoliubov, Selected Works. Part IV. Quantum Field Theory. Gordon and Breach, Amsterdam, 1995. ISBN 2-88124-926-4, ISBN 978-2-88124-926-6.

### Selected papers

• N. N. Bogoliubov (1948). "Equations of Hydrodynamics in Statistical Mechanics" (in Ukrainian). Sbornik Trudov Instituta Matematiki AN USSR 10: 41—59.
• "On Question about Superfluidity Condition in the Nuclear Matter Theory" (in Russian), Doklady Akademii Nauk USSR, 119, 52, 1958.
• "On One Variational Principle in Many Body Problem" (in Russian), Doklady Akademii Nauk USSR, 119, N2, 244, 1959.
• "On Compensation Principle in the Method of Selfconformed Field" (in Russian), Uspekhi Fizicheskhih Nauk, 67, N4, 549, 1959.
• "The Quasi-averages in Problems of Statistical Mechanics" (in Russian), Preprint D-781, JINR, Dubna, 1961.
• "On the Hydrodynamics of a Superfluiding" (in Russian), Preprint P-1395, JINR, Dubna, 1963.

## References

1.                                ^

2.                                ^ N. N. Bogoliubov and N. M. Krylov (1937). "La theorie generalie de la mesure dans son application a l'etude de systemes dynamiques de la mecanique non-lineaire" (in French). Ann. Math. II 38 (1): 65–113. doi:10.2307/1968511. JSTOR 1968511. Zbl. 16.86.

3.                                ^ N. N. Bogoliubov and N. M. Krylov (1939). Fokker-Planck equations generated in perturbation theory by a method based on the spectral properties of a perturbed Hamiltonian. Zapiski Kafedry Fiziki Akademii Nauk Ukrainian SSR 4: 81–157 (in Ukrainian).

4.                                ^ N. N. Bogoliubov (1946). "Kinetic Equations" (in Russian). Journal of Experimental and Theoretical Physics 16 (8): 691–702.

5.                                ^ N. N. Bogoliubov (1946). "Kinetic Equations". Journal of Physics 10 (3): 265–274.

6.                                ^ N. N. Bogoliubov, K. P. Gurov (1947). "Kinetic Equations in Quantum Mechanics" (in Russian). Journal of Experimental and Theoretical Physics 17 (7): 614–628.

7.                                ^ N. N. Bogoliubov (1947). "On the Theory of Superfluidity" (in Russian). Izv. Academii Nauk USSR 11 (1): 77.

8.                                ^ N. N. Bogoliubov (1947). "On the Theory of Superfluidity". Journal of Physics 11 (1): 23–32.

9.                                ^ N. N. Bogoliubov (1958). "On a New Method in the Theory of Superconductivity". Journal of Experimental and Theoretical Physics 34 (1): 58.

10.                             ^ N. N. Bogoliubov, O. S. Parasyuk (1955). "[A theory of multiplication of causal singular functions]" (in Russian). Doklady Akademii Nauk SSSR 100: 25–28.

11.                             ^ N. N. Bogoliubov, O. S. Parasyuk (1957). "Uber die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder" (in German). Acta Mathematica 97: 227–266. doi:10.1007/BF02392399.

12.                             ^ N. Bogolubov, B. Struminsky, A. Tavkhelidze. On composite models in the theory of elementary particles. JINR Preprint D-1968, Dubna 1965.