Existence Theory for Nonlinear Integral and Integrodifferential Equations / by Donal O’Regan, Maria Meehan
(Mathematics and Its Applications ; 445)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
| 出版年 | 1998 |
| 本文言語 | 英語 |
| 大きさ | IX, 222 p : online resource |
書誌詳細を非表示
| 内容注記 | 1. Introduction and preliminaries 2. Existence theory for nonlinear Fredholm and Volterra integrodifferential equations 3. Solution sets of abstract Volterra equations 4. Existence theory for nonlinear Fredholm and Volterra integral equations on compact intervals 5. Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals 6. Existence theory for nonlinear nonresonant operator and integral equations 7. Existence theory for nonlinear resonant operator and integral equations 8. Integral inclusions 9. Approximation of solutions of operator equations on the half line 10. Operator equations in Banach spaces relative to the weak topology 11. Stochastic integral equations 12. Periodic solutions for operator equations |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *O’Regan, Donal author Meehan, Maria author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Functional analysis LCSH:Integral equations LCSH:Operator theory LCSH:Differential equations FREE:Mathematics FREE:Integral Equations FREE:Operator Theory FREE:Ordinary Differential Equations FREE:Functional Analysis |
| 分 類 | DC23:515.45 |
| 巻冊次 | ISBN:9789401149921 
|
| ISBN | 9789401149921 |
| URL | http://dx.doi.org/10.1007/978-94-011-4992-1 |
目次／あらすじ