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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 452–466
DOI: https://doi.org/10.17377/semi.2016.13.039 (Mi semr689) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

Nonlocal problems with an integral boundary condition for the differential equations of odd order

A. I. Kozhanovab, G. A. Lukinac

a Novosibirsk State University, ul. Pirogova, 2, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
c Mirny Polytechnic Institute (branch) of Ammosov North-Eastern Federal University, ul. Tikhonova, 5 korp. 1, 678170, Mirny, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.039
Abstract: We study the solvability of nonlocal problems for equations
$$u_{ttt} + Au=f(x,t)$$
($0<T<+\infty$, $A$ — elliptic operator) with only two boundary conditions instead of three and with a special integral boundary condition. We prove the existence theorems for regular solutions and indicate a possible generalization of the obtained results.
Keywords: nonlocal problem, integral condition, odd order differential equation, regular solution, existence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582_а
Received February 22, 2016, published June 1, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: 35N99,35R99
Language: Russian
Citation: A. I. Kozhanov, G. A. Lukina, “Nonlocal problems with an integral boundary condition for the differential equations of odd order”, Sib. Èlektron. Mat. Izv., 13 (2016), 452–466
Citation in format AMSBIB
\Bibitem{KozLuk16}
\by A.~I.~Kozhanov, G.~A.~Lukina
\paper Nonlocal problems with an integral boundary condition for the differential equations of odd order
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 452--466
\mathnet{http://mi.mathnet.ru/semr689}
\crossref{https://doi.org/10.17377/semi.2016.13.039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3512694}
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