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Existence Theory for Nonlinear Integral and Integrodifferential Equations (Hardcover, 1998 ed.)
Loot Price: R1,587
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Existence Theory for Nonlinear Integral and Integrodifferential Equations (Hardcover, 1998 ed.)
Series: Mathematics and Its Applications, 445
Expected to ship within 12 - 17 working days
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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."
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