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| TWO-POINT BOUNDARY VALUE PROBLEMS: LOWER AND UPPER SOLUTIONS, 205
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By
C. De Coster, Université du Littoral-Côte d'Opale, France
P. Habets, Université Catholique de Louvain, Belgium
Included in series
Mathematics in Science and Engineering,
Description
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy
and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book
describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with
variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides
the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary
differential equations, some attention is given to other settings such as partial differential equations or functional differential equations.
A detailed history of the problem is described in the introduction.
Audience
Any mathematicians and PHD students.
Contents
Preface
Notations
Introduction - The History
I. The Periodic Problem
II. The Separated BVP
III. Relation with Degree Theory
IV. Variational
Methods
V. Monotone Iterative Methods
VI. Parametric Multiplicity Problems
VII. Resonance and Nonresonance
VIII. Positive Solutions
IX.
Problem with Singular Forces
X. Singular Perturbations
XI. Bibliographical Notes
Appendix
Bibliography
Index
| Bibliographic details |
Hardbound, 502 pages, publication date: MAR-2006
ISBN-13: 978-0-444-52200-9
ISBN-10: 0-444-52200-X
Imprint: ELSEVIER
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| Price and Ordering |
Price:
USD 210
GBP 138
EUR 162.95
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Last update: 5 Sep 2009
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