Article ID Journal Published Year Pages File Type
4627647 Applied Mathematics and Computation 2014 9 Pages PDF
Abstract
In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equationut-Δut-∂∂xibijx,t,uuxj+cix,t,uuxi+ϑx,t,u=fx,twith increasing with respect to ζ functions bijx,t,ζ,cix,t,ζ and ϑx,t,ζ was investigated. The existence and uniqueness of regular solutions are proven.
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Physical Sciences and Engineering Mathematics Applied Mathematics
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On solvability of the first initial-boundary value problem for quasilinear pseudoparabolic equations
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