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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., 2020 Volume 186, Pages 21–31 (Mi into708)

Some applications of the theory of random degree of coincidence in periodic problems for functional differential inclusions

E. N. Getmanova, S. V. Kornev

Voronezh State Pedagogical University

Abstract: The method of random integral direction functions developed on the basis of the theory of a random topological degree of coincidence is applied to the study of the periodic problem for random functional differential inclusions in finite-dimensional spaces.

Keywords: random integral directing function, random potential, random multioperator, random degree of coincidence, random topological index.

UDC: 517.911.5

MSC: 34F05, 34A60, 34C25

DOI: 10.36535/0233-6723-2020-186-21-31



© Steklov Math. Inst. of RAS, 2024