
Two-Point Boundary Value Problems: Lower and Upper Solutions: Volume 205
Lower and Upper Solutions
Elsevier (Publisher)
Published on 21. March 2006
Book
Hardback
502 pages
978-0-444-52200-9 (ISBN)
Article exhausted; check different version
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.
Reviews / Votes
"In this excellent monograph the authors present a survey of classical and recent results in the theory of lower and upper solutions applied to two-point boundary value problems...essential for researchers in this field." --Zentralblatt MATH, Two-Point Boundary Value Problems: Lower and Upper SolutionsMore details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Any mathematicians and PHD students.
Product notice
Laminated cover
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 27 mm
Weight
879 gr
ISBN-13
978-0-444-52200-9 (9780444522009)
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Schweitzer Classification
Other editions
Additional editions

C. De Coster | P. Habets
Two-Point Boundary Value Problems: Lower and Upper Solutions
Lower and Upper Solutions
E-Book
03/2006
Elsevier
€180.00
Available for download
Persons
Author
Universite du Littoral-Cote d'Opale, France
Universite Catholique de Louvain, Belgium
Content
PrefaceNotationsIntroduction - The HistoryI. The Periodic ProblemII. The Separated BVPIII. Relation with Degree TheoryIV. Variational MethodsV. Monotone Iterative MethodsVI. Parametric Multiplicity ProblemsVII. Resonance and NonresonanceVIII. Positive SolutionsIX. Problem with Singular ForcesX. Singular PerturbationsXI. Bibliographical NotesAppendixBibliographyIndex