Yurii Mitropolskyi

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{{Infobox scientist

| name = Yurii Mitropolskyi

| image =

| image_size = 220px

| caption =

| birth_date = {{Birth date|1917|1|3|df=y}}

| birth_place = Shishaki, Mirgorodsky Uyezd, Poltava Governorate, Russian Empire

| death_date = {{Death date and age|2008|6|14|1917|1|3|df=y}}

| death_place = Kyiv, Ukraine

| nationality =

| field = mathematics, dynamical systems, differential equations

| awards = Hero of Ukraine,
State Prize of Ukraine in Science and Technology,
Lenin Prize,
Hero of Socialist Labour

| work_institution = Institute of Mathematics of NAS of Ukraine

| doctoral_advisor = Nikolay Bogolyubov

| doctoral_students = Oleksandr Sharkovsky

| alma_mater = Taras Shevchenko National University of Kyiv

| known_for =

}}

Yurii Oleksiiovych Mitropolskyi{{efn|Also transliterated as Mitropolskiy, Mitropolsky or '''Mitropolskii}} ({{langx|uk|Юрій Олексійович Митропольський}}; 3 January 1917 – 14 June 2008) was a renowned Soviet and Ukrainian mathematician known for his contributions to the fields of dynamical systems and nonlinear oscillations. He was born in Poltava Governorate and died in Kyiv.

He received his Ph.D. from Kyiv University, under the supervision of theoretical physicist and mathematician Nikolay Bogolyubov. Mitropolskyi is one of the most frequently joint-published mathematicians known, with at least 240 collaborators. Member of the Communist Party since 1945.

Scientific and pedagogical activity

During his 60-year scientific career, Yurii Oleksiiovych obtained fundamental results in the field of asymptotic methods of nonlinear mechanics, qualitative methods of the theory of differential equations, and in the study of the dynamics of oscillatory processes in nonlinear systems. He created an algorithm for constructing an asymptotic expansion of nonlinear differential equations describing nonstationary oscillatory processes, developed a method for studying single-frequency processes in oscillatory systems with many degrees of freedom. The scientist studied systems of nonlinear differential equations describing oscillatory processes in gyroscopic and strongly nonlinear systems, developed the theory of integral manifolds and the method of averaging. Y. Mitropolsky created a scientific team that multiplies the traditions of the school of nonlinear mechanics of academicians M. Krylov and M. Bogolyubov.

The scientist successfully combined his scientific work with teaching. For almost 40 years, Yurii Oleksiiovych lectured at the Faculty of Mechanics and Mathematics of his native university. He is the author of more than 750 scientific papers. Among his students are 25 doctors and 100 candidates of physical and mathematical sciences.

Eponym

Krylov–Bogolyubov–Mitropolskiy asymptotic method

Selected works

N. N. Bogolyubov and Y. A. Mitropolskiy. Asymptotic methods in the theory of non-linear oscillations. New York: Gordon and Breach, 1961 (translated from Russian).
N. N. Bogolyubov, Ju. A. Mitropolskiy, and A. M. Samoilenko. Methods of accelerated convergence in nonlinear mechanics. New York: Springer-Verlag, 1976 (translated from Russian).
Yu. A. Mitropolskiy and A. K. Lopatin. Nonlinear mechanics, groups and symmetry. Dordrecht; Boston: Kluwer Academic Publishers, 1995. {{ISBN|0-7923-3339-X}}.
Yu. A. Mitropolskiy. Problems of the asymptotic theory of nonstationary vibrations. Jerusalem: Israel Program for Scientific Translations, 1965.
Yu. A. Mitropolskiy, A. M. Samoilenko, and D. I. Martinyuk. Systems of evolution equations with periodic and quasiperiodic coefficients. Dordrecht; Boston: Kluwer Academic, 1993. {{ISBN|0-7923-2054-9}}.
Integrable dynamical systems (coauthor).

Notes

References

{{reflist | refs=

{{cite journal | last = Grossman | first = Jerrold W. | title = Patterns of Research in Mathematics | journal = Notices of the American Mathematical Society |date=January 2005 | pages = 35–41 | url = http://www.ams.org/notices/200501/fea-grossman.pdf | access-date = 16 September 2011}}

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Category:1917 births

Category:2008 deaths

Category:20th-century Ukrainian mathematicians

Category:People from Poltava Oblast

Category:People from Mirgorodsky Uyezd

Category:Academic staff of the Taras Shevchenko National University of Kyiv

Category:Al-Farabi Kazakh National University alumni

Category:Full Members of the National Academy of Sciences of Ukraine

Category:Full Members of the Russian Academy of Sciences

Category:Full Members of the USSR Academy of Sciences

Category:Members of the National Academy of Sciences of Ukraine