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