Existence Theory for Nonlinear Ordinary Differential Equations by Donal O'ReganExistence Theory for Nonlinear Ordinary Differential Equations by Donal O'Regan

Existence Theory for Nonlinear Ordinary Differential Equations

byDonal O'Regan

Paperback | December 6, 2010

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This book presents an up-to-date account of many topics of current interest in the theory of nonlinear ordinary differential equations. Topics 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. Audience: This work will be of interest to theoretical and applied mathematicians, and graduate students in the above disciplines.

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Title:Existence Theory for Nonlinear Ordinary Differential EquationsFormat:PaperbackDimensions:207 pages, 9.25 × 6.1 × 0 inPublished:December 6, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048148359

ISBN - 13:9789048148356

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Table of Contents

1. Introduction, Notation and Preliminaries. 2. Fixed Point Theory. 3. Initial Value Problems. 4. First Order Periodic Problems. 5. Existence Principles for Second Order Boundary Value Problems. 6. Boundary Value Problems Without Growth Restrictions. 7. Positone Boundary Value Problems. 8. Semi-Positone Boundary Value Problems. 9. Differential Equations Singular in the Solution Variable. 10. Existence Principle for Singular Boundary Problems. 11. Nonresonance Problems in the Limit Circle Case. 12. Resonance Problems in the Limit Circle Case. 13. Boundary Value Problems on the Half Line. 14. Existence Theory for Ordinary Differential Equations on Compact and Noncompact Intervals. 15. Impulsive Differential Equations. 16. Differential Equations in Abstract Spaces. Index.

Editorial Reviews

`I warmly recommend it to everyone interested in ordinary differential equations and its applications.' Acta Sci. Math., 64 (1998)