Scientific articles

Asymptotic behavior of solutions for inclusions with causal multioperators and the method of integral guiding potentials

S. V. Kornev, V. V. Obukhovskii

Voronezh State Pedagogical University

Abstract: In the present paper the method of integral guiding potentials is applied to study the problem of the asymptotic behavior of solutions for a differential inclusion with a causal multioperator. At first we consider the case when the multioperator is closed and convex-valued. Then the case of a non-convex-valued and lower semicontinuous right-hand part is considered.

Keywords: functional inclusion, causal multioperator, asymptotic behavior of solutions, integral guiding potential.

UDC: 517.911

Received: 23.03.2018

Language: English

DOI: 10.20310/1810-0198-2018-23-122-136-144

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