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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 8, Pages 26–36 (Mi ivm3052)
This article is cited in 1 paper

The averaging method and the asymptotic behavior of solutions to differential inclusions

V. S. Klimov, A. Yu. Ukhalov

Chair of Mathematical Analysis, Yaroslavl State University, Yaroslavl, Russia

Abstract: We prove one version of the first Bogolyubov theorem for differential inclusions with multivalued mappings that satisfy certain one-sided constraints. We study the dependence of solutions to differential inclusions on the parameters.

Keywords: averaging method, differential inclusions, asymptotic methods.

UDC: 517.958

Received: 07.05.2007
Revised: 18.10.2007


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:8, 20–28

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© Steklov Math. Inst. of RAS, 2024