Overview

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.

Full Product Details

Author:   Donal O'Regan
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   398
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148356

ISBN 10:   9048148359
Pages:   200
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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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.

Reviews

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

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

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