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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011 Issue 8(89), Pages 29–36 (Mi vsgu120)

This article is cited in 1 paper

Mathematics

A mixed problem with integral condition for a degenerative equation of the hyperbolic type

S. V. Kirichenko

Dept. of Higher Mathematics, Samara State University of Railway Transport, Samara, 443066, Russian Federation

Abstract: In this article, the mixed problem for the hyperbolic degenerate equation with an integral condition is considered. The existence and uniqueness of a generalized solution are proved.

Keywords: degenerate equation, integral condition, generalized solution, apriori estimate, regularization method, Galerkin method.

UDC: 517.95

Received: 14.06.2011
Revised: 26.10.2011



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