M. V. Strigun, “Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, Issue 8(89),Pages <nobr>95

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Mathematics

Initial-boundary value problem for one-dimension hyperbolic equation with integral boundary condition

M. V. Strigun

Dept. of Equations of Mathematical Physics, Samara State University, Samara, 443011, Russian Federation

Abstract: In this paper, we study an initial-boundary value problem with nonlocal integral condition for a hyperbolic equation. The existence and uniqueness of a generalized solution of the problem is proved.

Keywords: hyperbolic equation, nonlocal problem, integral conditions, generalized solution.

UDC: 517.95

Received: 22.11.2011
Revised: 22.11.2011