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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 122, Pages 136–144
DOI: https://doi.org/10.20310/1810-0198-2018-23-122-136-144 (Mi vtamu63) 		 
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
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DOI: https://doi.org/10.20310/1810-0198-2018-23-122-136-144
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3464.2017/4.6
Russian Foundation for Basic Research 17-51-52022
16-01-00370
16-01-00386
The work is partially supported by the Ministry of Education and Science of the Russian Federation (project № 1.3464.2017/4.6) and the Russian Fund for Basic Research (projects №№ 17-51-52022, 16-01-00370, 16-01-00386).
Received: 23.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: English
Citation: S. V. Kornev, V. V. Obukhovskii, “Asymptotic behavior of solutions for inclusions with causal multioperators and the method of integral guiding potentials”, Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018), 136–144
Citation in format AMSBIB
\Bibitem{KorObu18}
\by S.~V.~Kornev, V.~V.~Obukhovskii
\paper Asymptotic behavior of solutions for inclusions with causal multioperators and the method of integral guiding potentials
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 122
\pages 136--144
\mathnet{http://mi.mathnet.ru/vtamu63}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-122-136-144}
\elib{https://elibrary.ru/item.asp?id=35213520}
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