Sh. Amirov, A. I. Kozhanov, “Solvability of a mixed problem for some of higher-order Sobolev-type strongly nonlinear equations”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 4,Pages <nobr>14

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

Sh. Amirov^a, A. I. Kozhanov^bc

^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.

UDC: 517.946

Received: 14.04.2014