On solvability of the first initial-boundary value problem for quasilinear pseudoparabolic equations

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作者
Amirov, Sherif [1 ]
机构
[1] Department of Mathematics, Faculty of Sciences, Karabuk University, 78050 Karabuk, Turkey
关键词
Computational methods;
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O172 [微积分];
学科分类号
摘要
In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equationut-Δut- xibijx,t,uuxj+cix,t,u uxi+v x,t,u=fx,twith increasing with respect to ζ functions bijx,t,ζ,cix,t,ζ and x,t,ζ was investigated. The existence and uniqueness of regular solutions are proven. © 2014 Elsevier Inc. All rights reserved.
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页码:112 / 120
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