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Mathematics - Analysis | Multidimensional Integral Equations and Inequalities

Multidimensional Integral Equations and Inequalities

Pachpatte, B.G.

1st Edition., X, 245 p.

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  • Contains the study of variety of multidimensional integral equations and inequalities, recently discovered, which find numerous applications in various branches of mathematics and can not be found in other book
  • Is a valuable reference for results about multidimensional integral equations and inequalities for use in some applications, in various other branches of mathematics
  • Deals with a variety of new results, which find large number of applications in various other branches of mathematics, which are still in the original papers in journals
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.

Content Level » Research

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

Related subjects » Analysis

Table of contents 

Integral equations in two variables.- Integral inequalities and equations in two and three variables.- Mixed integral equations and inequalities.- Parabolic-type integrodifferential equations.- Multivariable sum-difference inequalities and equations.

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