Studies On Integral Inequalities In Two Independent Variables

The purpose of this paper is to improve several partial integral inequalities in two or more independent variables which were established by many authors, such as B. G. Pachpatte and B. K. Bondge. Our objective here is to present a number of new partial integral inequalities in two independent variables which can be used as handy tools in the qualitative behavior of the solutions of several classes of nonlinear non-self-adjoint hyperbolic partial differential and integral equations.The aim of this paper is to establish some new partial integral inequalities in two independent variables which can be used in the study of qualitative behavior of the various classes of nonlinear non-self-adjoint hyperbolic partial differential and integral equations as ready and powerful tools.The thesis is divided into three sections according to contents.In Chapter 1, Preface, we introduce the main contents of this paper.In Chapter 2, we study the integral inequalitie in two or more independent variables, we mainly employed Gronwall integral inequalities and fundmental inequalities and improve the main results of B. G. Pachpatte [1], we obtained several new results. In Chapter 3, the chapter is to study the following inequality,We mainly employed fundmental inequalities to improve the inequality and obtained some new results.