Multidimensional Integral Equations and Inequalities

1. Front Matter

   Pages i-x

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2. Integral Equations in Two Variables

   • B. G. Pachpatte

   Pages 9-57

3. Integral Inequalities and Equations in Two and Three Variables

   • B. G. Pachpatte

   Pages 59-95

4. Mixed Integral Equations and Inequalities

   • B. G. Pachpatte

   Pages 97-141

5. Parabolic-Type Integrodifferential Equations

   • B. G. Pachpatte

   Pages 143-189

6. Multivariable Sum-Difference Inequalities and Equations

   • B. G. Pachpatte

   Pages 191-235

7. Back Matter

   Pages 237-245

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Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

• Integral equations
• Integral inequalities and equations
• Mixed integral inequalities and equations
• Multidimensional sum-difference inequalities and equations
• Parabolic-type integrodifferential equations

From the reviews:

“This book is concerned with integral equations and inequalities that involve functions of two or more independent variables. … the book is self-contained and all results are presented in an easy-to-read way, it has been written for pure and applied professional mathematicians, engineers and physicists or the like. … It certainly belongs on the bookshelf of specialists in analysis but the literature used is comprehensive, accurate and very up-to-date; many of the author’s own works are cited, which shows his great expertise.” (Nelson Jose Merentes, Mathematical Reviews, January, 2013)

• , Department of Mathematics, Marathwada University, Aurangabad, India

  B.G. Pachpatte

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