N. V. Beylina, “On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, Issue 9(100),Pages <nobr>22

Mathematics

On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation

N. V. Beylina

Dept. of Mathematics and applied informatics, Samara State Technical University, Samara, 443100, Russian Federation

Abstract: In this paper, we study the solvability of a problem for a nonlinear hyperbolic equation with a nonlinear boundary conditions. The unique solvability is proved.

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

UDC: 517.95

Received: 20.11.2012
Revised: 20.11.2012