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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 3, Pages 585–590
DOI: https://doi.org/10.20310/1810-0198-2017-22-3-585-590 (Mi vtamu117) 		 
Scientific articles

Boundary value problems for functional-differential inclusions with the multivalued impulses

O. V. Filippovaab, A. A. Grigorenkoa

a Tambov State University named after G.R. Derzhavin
b RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2017-22-3-585-590
Abstract: The boundary value problems for a functional-differential inclusion generated by a multivalued map not necessarily convex-valued with respect to switching in the space of summable functions and with multi-valued impulses are considered. Concept of a generalized solution of such a problem is introduced. Existence conditions for a generalized solution of the boundary value problem are found. The effective estimates of generalized solutions are derived.
Keywords: functional-differential inclusion, boundary value problems, multi-valued impulses, convexity with respect to switching.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00553
17-41-680975
Ministry of Education and Science of the Russian Federation 02.a03.21.0008
НШ-8215.2016.1
The present research is supported by the Russian Fund for Basic Research (projects № 17-01-00553, № 17-41-680975), by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.0008) and by the grant of the Russian Federation President for the state support of leading scientific schools, No. NSh-8215.2016.1.
Received: 17.04.2017
Document Type: Article
UDC: 517.911, 517.968
Language: Russian
Citation: O. V. Filippova, A. A. Grigorenko, “Boundary value problems for functional-differential inclusions with the multivalued impulses”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 585–590
Citation in format AMSBIB
\Bibitem{FilGri17}
\by O.~V.~Filippova, A.~A.~Grigorenko
\paper Boundary value problems for functional-differential inclusions with the multivalued impulses
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 3
\pages 585--590
\mathnet{http://mi.mathnet.ru/vtamu117}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-3-585-590}
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