Anatoly Samoilenko

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Anatoly Mykhailovych Samoilenko
Born(1938-01-02)2 January 1938
Institute of Mathematics of NAS of Ukraine

Anatoly Mykhailovych Samoilenko (

Institute of Mathematics of the National Academy of Sciences of Ukraine
(since 1988).

Biography

Anatoly Samoilenko was born in 1938 in the village of

Zhytomyr region. In 1955, he entered the Geologic Department at the Shevchenko Kyiv State University. In 1960, Samoilenko graduated from the Department of Mechanics and Mathematics at the Shevchenko Kyiv State University
with mathematics specialization. At the same time, his first scientific works were published.

In 1963, after the graduation from the postgraduate courses at the

multifrequency oscillations, he defended his doctoral-degree thesis "Some Problems of the Theory of Periodic and Quasiperiodic Systems", the official opponents of which were V. I. Arnold and D. V. Anosov.[citation needed
]

In 1965–1974, Samoilenko worked as a senior research fellow at the

Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR and gave lectures at the Shevchenko Kyiv State University. In 1974, he obtained the professor degree. In 1978, he was elected to become a Corresponding Member of the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR. His monograph[1] brought him worldwide recognition. This monograph was written by Samoilenko together with his teachers, Academicians N. N. Bogolyubov and Mitropolskiy. Thirty six years later, Samoilenko reminisced, "In Kyiv, 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".[2]

In 1974–1987, Samoilenko headed the Chair of Integral and Differential Equations of the Department of Mechanics and Mathematics at the Shevchenko Kyiv State University. These years were marked by especially high scientific activity of the chair. Based on results of the research in the theory of differential equations with delay performed at that time, the monograph[3] of Mitropolskiy, Samoilenko, and D. I. Martynyuk was published. At the same time, Samoilenko, together with his disciple M. O. Perestyuk, published the well-known monograph[4] devoted to the theory of impulsive differential equations. These monographs (especially their English translations[5][6][7]) are frequently cited in scientific literature.

Since 1987, Samoilenko has headed the Department of Ordinary Differential Equations at the

invariant tori of nonlinear dynamical systems on a torus. The English version[9] of this monograph is also well known. Three years later, the monograph[10] of Samoilenko (in coauthorship with Mitropol'skii and V. L. Kulyk) was published. In this monograph, in particular, the method of Lyapunov functions was used for the investigation of dichotomies in linear differential systems of the general form. The results of many-year investigations of constructive methods in the theory of boundary-valued problems for ordinary differential equations carried out by Samoilenko together with M. Ronto are presented in monographs.[11][12][13][14] Constructive algorithms for finding solutions of boundary-value problems with different classes of multipoint boundary conditions were developed by Samoilenko, V. M. Laptyns'kyi, and K. Kenzhebaev; the obtained results are presented in monograph.[15] Complex classes of resonance boundary-value problems whose linear pan cannot be described by Fredholm operators of index zero were investigated by Samoilenko, together with O. A. Boichuk and V. F. Zhuravlev, in monographs.[16][17] The monograph[18] of Samoilenko and Yu. V. Teplins'kyi is devoted to the theory of countable systems of ordinary differential equations. The monographs [19][20] of Samoilenko and R. I. Petryshyn
cover a broad class of qualitative problems in the theory of nonlinear dynamical systems on a torus.

Samoilenko is the author of about 400 scientific works, including 30 monographs and 15 textbooks, most of which have been translated into foreign languages. His monographs made an important contribution to mathematical science and education. According to MathSciNet, the scientific papers of Samoilenko were cited 336 times by 208 authors.

The scientific interests of Samoilenko covered a broad range of important problems in the

Krylov – Mitropolskiy Kyiv
scientific school.

The worldwide recognition of Samoilenko's mathematical results is illustrated by notions well known in the mathematical literature such as the Samoilenko numerical-analytic method and the Samoilenko –

kernel of an integral operator
related to the problem of an invariant torus of a dynamical system).

Samoilenko gave much attention to training scientists of the highest qualification. For many years, he had given lectures at the Shevchenko Kyiv National University and the "Kyiv Polytechnic Institute" National Technical University and guided the scientific work of postgraduate and doctoral students. Despite the extremely busy schedule of his work as the Director of the Institute of Mathematics of the Ukrainian National Academy of Sciences for about 20 last years (since 2006, he was the Academician-Secretary of the Department of Mathematics at the National Academy of Sciences of Ukraine), Samoilenko found time for organizational and public activities. In particular, Samoilenko was the President of the "Foundation for Support of the Development of Mathematical Sciences" All-Ukrainian charity organization. Many young talents from the "small homeland" of Samoilenko (Malynshchyna) are grateful to him for founding and heading the charity foundation for support of the development of gifted children and youth.

Samoilenko found and taught many nonordinary scientists. He created an international scientific school in differential equations. Among his disciples, there are 33 doctors and 82 candidates of physical and mathematical sciences, who are now researchers of prestigious scientific institutions, professors, heads of chairs, deans, and rectors (scientific researchers, pedagogs, and administrators of various levels). For example, Samoilenko's alma mater (the Department of Mechanics and Mathematics at the Shevchenko Kyiv National University) has been headed for many years by his disciples (Professors M. O. Perestyuk and I. O. Parasyuk). Among other well-known scientists belonging to Samoilenko's mathematical school, one may mention Professor Kenzhebaev, the rector of the Zhubanov Aktobe University, one of the most reputable universities in Kazakhstan, and Academician M. Ilolov, the President of the Tajik Academy of Sciences.

Samoilenko was a member of the

Nonlinear Oscillations journal[23] and the Ukrainian Mathematical Bulletin
.

Samoilenko was a full member of the National Academy of Sciences of Ukraine[24] (since 1995) and the European Academy of Sciences[25] (since 2002). He was a Foreign Member of the Tajik Academy of Sciences (since 2011).

Samoilenko was awarded

Krylov Prize (1981), Bogolyubov Prize (1998), Lavrentyev Prize (2000), Ostrogradsky Prize (2004) and Mitropolskiy
Prize (2010).

References

  1. ^ N. N. Bogolyubov, Yu. A. Mitropol’skii, and A. M. Samoilenko, Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).
  2. ^ I. Bessmertnyi, "Scientists do not need freedom" [in Russian], Newspaper "2000", No. 5 (255), 04.02.2005, p. 5. http://2000.net.ua/is/101/255-c1.pdf[permanent dead link], http://2000.net.ua/is/101/255-c5.pdf[permanent dead link].
  3. ^ Yu. A. Mitropol’skii, A. M. Samoilenko, and D. I. Martynyuk, Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients [in Russian], Naukova Dumka, Kiev (1984).
  4. ^ A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations [in Russian], Vyshcha Shkola, Kiev (1987).
  5. ^ N. N. Bogoljubov, J. A. Mitropolskii, and A. M. Samoilenko, Method of Accelerated Convergence in Nonlinear Mechanics, Hindustan Publishing Corporation, Delhi (1976).
  6. ^ A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, Singapore (1995).
  7. ^ Yu. A. Mitropolsky, A. M. Samoilenko, and D. I. Martinyuk, Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients, Kluwer, Dordrecht (1992).
  8. ^ A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations. Invariant Tori [in Russian], Moscow, Nauka (1987).
  9. ^ A. M. Samoilenko, Elements of the Mathematical Theory of Multi-Frequency Oscillations, Kluwer, Dordrecht (1991).
  10. ^ Yu. A. Mitropol’skii, A. M. Samoilenko, and V. L. Kulik, Investigation of Dichotomy of Linear Systems of Differential Equations Using Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1990).
  11. ^ A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).
  12. ^ A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for the Investigation of Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1986).
  13. ^ A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for the Investigation of Periodic Solutions [in Russian], Vyshcha Shkola, Kiev (1976).
  14. ^ M. Ronto and A. Samoilenko, Numerical-Analytic Methods in the Theory of Boundary-Value Problems, World Scientific, River Edge, NJ (2000).
  15. ^ A. M. Samoilenko, V. N. Laptinskii, and K. K. Kenzhebaev, Constructive Methods for the Investigation of Solutions of Periodic and Multipoint Boundary-Value Problems [in Russian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (1999).
  16. ^ A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko, Generalized Inverse Operators and Noetherian Boundary-Value Problems [in Russian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (1995).
  17. ^ A. A. Boichuk and A. M. Samoilenko, Generalized Inverse Operators and Fredholm Boundary-Value Problems, VSP, Utrecht (2004).
  18. ^ A. M. Samoilenko and Yu. V. Teplinskii, Countable Systems of Differential Equations, VSP, Utrecht (2003).
  19. ^ A. M. Samoilenko and R. I. Petryshyn, Multifrequency Oscillations of Nonlinear Systems [in Ukrainian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv (1998).
  20. ^ A. M. Samoilenko and R. I. Petryshyn, Mathematical Aspects of the Theory of Nonlinear Oscillations [in Ukrainian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv (2004).
  21. ^ The official site of the Miskolc Mathematical Notes http://mat76.mat.uni-miskolc.hu/~mnotes/author_card.php?author_id=17 Archived 2012-03-16 at the Wayback Machine.
  22. ^ The official site of English-language version of Ukrainian Mathematical Journal https://www.springer.com/mathematics/journal/11253?detailsPage=editorialBoard.
  23. ^ The official site of Nonlinear Oscillations http://www.imath.kiev.ua/~nosc/web/editors.php?lang=en.
  24. ^ The official site of NAS of Ukraine http://www.nas.gov.ua/en/Structure/dmat/imat/Pages/default.aspx Archived 2011-12-23 at the Wayback Machine.
  25. ^ The official site of EURASC http://www.eurasc.org/members/members.asp?Cognome=s.

External links

  • O'Connor, John J.; Robertson, Edmund F., "Anatoly Samoilenko", MacTutor History of Mathematics Archive, University of St Andrews
  • A.A. Boichuk, A.G. Mazko, A.A. Martynyuk and M.O. Perestyuk. Academician A.M. Samoilenko. On His 75th Birthday. Nonlinear Dynamics and Systems Theory, 13 (2) (2013), 107–113.
  • Personal site.
  • Google Scholar Citations.
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