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Existence Theory for Nonlinear Integral and Integrodifferential Equations

Author: Donal O'Regan; Maria Meehan
Publisher: Dordrecht : Springer Netherlands : Imprint : Springer, 1998.
Series: Mathematics and Its Applications ;, 445.
Edition/Format:   eBook : Bibliographic data : EnglishView all editions and formats
Summary:
This book presents an up-to-date account of many topics of current 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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Donal O'Regan; Maria Meehan
ISBN: 9789401149921 9401149925 9789401060950 9401060959
OCLC Number: 840311034
Description: 1 online resource (228 pages).
Contents: 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.
Series Title: Mathematics and Its Applications ;, 445.
Responsibility: by Donal O'Regan, Maria Meehan.

Abstract:

This book presents an up-to-date account of many topics of current 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. <br/> Audience: This work will be of interest to theoretical and applied mathematicians, and graduate students in the above disciplines.

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