Existence Theory for Nonlinear Integral and Integrodifferential Equations: 445 (Mathematics and Its Applications, 445) - Hardcover

O'Regan, Donal; Meehan, Maria

Hardcover

ISBN 10: 0792350898 ISBN 13: 9780792350897

Publisher: Springer, 1998

Synopsis

The theory of integral and integrodifferential equations has ad­ vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono­ graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap­ ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in­ tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 'Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the­ ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur­ ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte­ gral and integrodifferential equations on compact and half-open intervals, while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.

About this title

Synopsis

This text presents an account of many topics of interest in the theory of nonlinear ordinary differential equations. They include fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations, limit circle problems, finite and infinite interval problems, and impulsive differential equations. In addition many important applications are presented to complement the theory. This work should be of interest to theoretical and applied mathematicians and graduate students in the above disciplines.

Edition details

• Publisher: Springer
• Publication date: 1998
• ISBN 10: 0792350898
• ISBN 13: 9780792350897
• Binding: Hardcover
• Language: English
• Number of pages: 231