On Integral Inequalities and Their Applications

The study of integral inequalities has received a lot of attention in the literature and has become a major field in pure and applied mathematics. This book is devoted to integral inequalities of Gronwall type, extensions and generalizations. In particular, the book contains the generalized version of Pachpatte type inequalities, the inequalities of Bihari and Langenhop, generalizations of GronwalI-Bellman-Bihari inequalities, and the inequalities of Gamidov and Rodrigues. We also prove extensions of inequalities involving iterated integrals, we consider the generalized form of Dragomir's inequalities with non-decreasing functions. We also discuss the extension of the inequalities of Gamidov and Rodrigues, and inequalities involving iterated integrals. At the end of this book, we present some applications of certain integral inequalities to the study of the basic problems related to some integral and integro-differential equations.