Yurii Oleksiyovych Mitropolskiy (Ukrainian: 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.^[1] Mitropolskiy is one of the most frequently joint-published mathematicians known, with at least 240 collaborators.^[2] Member of the Communist Party since 1945.

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).