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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 194, Pages 38–45 (Mi into814)

Method of stochastic multivalent guiding functions in a periodic problem for stochastic differential inclusions

Yu. E. Bezmelnitsyna, S. V. Kornev, V. V. Obukhovskii

Voronezh State Pedagogical University

Abstract: In this paper, the concept of a stochastic multivalent guiding function is introduced. The new method based of the concept introduced allows one to establish a sufficient criterion for the existence of periodic solutions of stochastic differential inclusions in finite-dimensional spaces.

Keywords: stochastic differential inclusion, stochastic multivalent guiding function, stochastic periodic solution.

UDC: 517.911.5

MSC: 34F05, 34A60, 34C25

DOI: 10.36535/0233-6723-2021-194-38-45



© Steklov Math. Inst. of RAS, 2024