Constant-Sign Solutions of Systems of Integral Equations

Beschreibung

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.    
This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting.    This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.    
Features numerous examples Contains a wealth of new results Fills a gap in the literature

Autor*in

Ravi P. Agarwal

Themen in »Constant-Sign Solutions of Systems of Integral Equations«

Constant-sign solution Existence theory Fixed point theory Fredholm integral equation System of integral equations Volterra integral equation ordinary differential equations

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From the book reviews:

“The book is devoted to the study of nonlinear Volterra and Fredholm integral equations. This extremely clear, well-written and self-contained monograph offers to a wide class of readers a valuable theoretical foundation in the theory of nonlinear integral equations and their applications to nonlinear boundary value problems encountered in various fields of the physical, chemical, and biological sciences. … Throughout the book many mathematical examples are included to illustrate the theory.” (D. G. Natroshvili, Mathematical Reviews, June, 2014)

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