V. L. Pryadiev, A. V. Pryadiev, “The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables”, Avtomat. i Telemekh., 2007, Issue 2,Pages <nobr>138

This article is cited in 1 paper

Systems with Distributed Parameters

The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables

V. L. Pryadiev, A. V. Pryadiev

Voronezh State University

Abstract: A new representation is proved of the solutions of initial boundary value problems for the equation of the form $u_{xx}(x,t)+r(x)u_{x}(x,t)-q(x)u(x,t)=u_{tt}(x,t)+\mu(x)u_{t}(x,t)$ in the section (under boundary conditions of the 1st, 2nd, or 3rd type in any combination). This representation has the form of the Riemann integral dependent on the $x$ and $t$ over the given section.

PACS: 02.30.Yy

Presented by the member of Editorial Board: V. N. Bukov

Received: 19.04.2006