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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 14–30 (Mi sjim855)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of a mixed problem for some of higher-order Sobolev-type strongly nonlinear equations

Sh. Amirova, A. I. Kozhanovbc

a Karabuk University, 78050 Karabuk, Turkey
b Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
c Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
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Abstract: We study the solvability of a mixed initial-boundary value problem for Sobolev-type strongly nonlinear equations of order $2m$ in the space variable. The existence and uniqueness of regular solutions are proved.
Keywords: Sobolev-type equation, strongly nonlinear divergent and nondivergent equations, mixed problem, regular solution, existence, uniqueness.
Received: 14.04.2014
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: Sh. Amirov, A. I. Kozhanov, “Solvability of a mixed problem for some of higher-order Sobolev-type strongly nonlinear equations”, Sib. Zh. Ind. Mat., 17:4 (2014), 14–30
Citation in format AMSBIB
\Bibitem{AmiKoz14}
\by Sh.~Amirov, A.~I.~Kozhanov
\paper Solvability of a~mixed problem for some of higher-order Sobolev-type strongly nonlinear equations
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 4
\pages 14--30
\mathnet{http://mi.mathnet.ru/sjim855}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364389}
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    • This publication is cited in the following 1 articles:
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