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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 14–30
(Mi sjim855)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjim855 https://www.mathnet.ru/eng/sjim/v17/i4/p14
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Abstract page: | 467 | Full-text PDF : | 144 | References: | 80 | First page: | 25 |
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