Two-point boundary value problems
Subtitle: lower and upper solutions
By: Colette De Coster, Patrick Habets.
Contributors: Habets, Patrick.
Edition: 1st ed.
Series: Mathematics in science and engineering -- v. 205.
Publisher: Elsevier
Published: 2006
Place of publication: Amsterdam; Boston
Language: eng
Number of pages: 489
ISBN-13: 9780444522009
Subjects: Boundary value problems.; Functional differential equations.
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."--Publisher's website.
Notes: Includes bibliographical references (p. 463-487) and index.