This article is cited in 5 papers

Mathematics

On certain nonlocal problem with integral boundary condition for hyperbolic equation

M. V. Strigun

Dept. of Equations of Mathematical Physics, Samara State University, Samara, 443011, Russia

Abstract: In this paper, we consider mixed problem for hyperbolic equation with nonlocal boundary condition involving an integral of required solution. The existence and uniqueness of the generalized solution are established.

Keywords: hyperbolic equation, nonlocal problem, integral condition.

UDC: 517.95

Received: 19.10.2009
Revised: 19.10.2009