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Book review

Author(s) Bainov, Drumi
Simeonov, Pavel
Title Integral Inequalities and Applications
Publisher Kluwer Academic Publishers
Year of publication 1992
Reviewed by Alexandru Lupas

The aim of this book is to give a systematic exposition of the classical results about integral inequalities, to consider some types of integral inequalities which have appeared in the mathematical literature in recent years and to illustrate the application of integral inequalities in the study of solutions of various classes of equations. The book is structured as follows. Chapters 1 and 2 present the theory of the classical linear and nonlinear inequalities. Chapter 3 discusses the analogues of Gronwall's inequality. Each chapter closes with notes and comments pointing out new directions and ongoing research. The book is mainly intended as a reference volume for researchers working in analysis and differential equations. To conclude, this book gives a good idea of the recent developments in the theory of integral inequalities, and the reviewer believes that the authors ambition to present a nice overview of important recent results in this field is achieved.