Study of some integral inequalities and applications

Abstract

The aim of this thesis is to give an exposition of the classical results of some integral inequalities emerged in the mathematical literature in recent years; and to establish some new integral inequalities of Gronwall type and also some new delay integral inequalities for functions of two variables and their applications. The results obtained here can be used in the qualitative theory of some classes of boundary value problems for differential equations, integral equations and integro-differential equations with delay.