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＜電子ブック＞
Existence Theory for Nonlinear Integral and Integrodifferential Equations / by Donal O'Regan, Maria Meehan
(Mathematics and Its Applications ; 445)

版	1st ed. 1998.
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
著者標目	*O'Regan, Donal author Meehan, Maria author SpringerLink (Online service)
件　名	LCSH:Integral equations LCSH:Operator theory LCSH:Differential equations LCSH:Functional analysis FREE:Integral Equations FREE:Operator Theory FREE:Differential Equations FREE:Functional Analysis
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-94-011-4992-1

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