L. S. Pulkina, M. V. Strigun, “Two initial-boundary value problems with nonlineal boundary conditions for one-dimension hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, Issue 2(83),Pages <nobr>46

Mathematics

Two initial-boundary value problems with nonlineal boundary conditions for one-dimension hyperbolic equation

L. S. Pulkina, M. V. Strigun

Dept. of Partial Differential Equations, Samara State University, Samara, 443011, Russian Federation

Abstract: In this paper, the initial-boundary value problems for hyperbolic equation with nonlinear boundary conditions are considered. Existence and uniqueness of generalized solution are proved.

Keywords: hyperbolic equation, nonlinear boundary conditions, generalized solution.

UDC: 517.95

Received: 10.10.2010
Revised: 10.10.2010