This article is cited in 1 paper

On some boundary value problems for systems of pseudoparabolic equations

A. Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russia

Abstract: We study a boundary value problem for a system of two pseudoparabolic equations when for one of the functions the initial data and its values at the final time are given. Existence and uniqueness theorems for this problem are proven with the help of the properties of solutions to some nonlocal and inverse problems for a pseudoparabolic equation which are established in this article.

Keywords: pseudoparabolic equation, loaded equation, inverse problem, existence and uniqueness theorem, nonlocal boundary value problem.

UDC: 517.95

Received: 25.08.2014

DOI: 10.17377/smzh.2015.56.410

 English version: Siberian Mathematical Journal, 2015, 56:4, 662–677

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