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

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013 Issue 6(107), Pages 31–39 (Mi vsgu374)

Mathematics

On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation

S. V. Kirichenko

Samara State University of Railway Transport, Samara, 443066, Russian Federation

Abstract: In this article, the boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. Existence and uniqueness of generalized solution are proved.

Keywords: hyperbolic equation, non-local conditions, generalized solution.

UDC: 517.956

Received: 04.04.2013
Revised: 06.06.2013



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