On some new integral inequalities for non-self-adjoint hyperbolic partial integrodifferential equations

Abstract

The aim of this paper is to establish some new partial integral inequalities in two independent variables which can be used in the analysis of a class of nonlinear non-self-adjoint hyperbolic partial integrodifferential equations. An elementary method of reducing the integral inequality to a second-order partial differential inequality and then integrating it by Riemann's method is used to establish our results.