Two-Point Boundary Value Problems: Lower and Upper Solutions by P Habets

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Summary

Introduces the method of lower and upper solutions for ordinary differential equations. Divided into two sections, this book presents the fundamental features of the method. It also pays attention to other settings such as partial differential equations or functional differential equations. It features illustrated theorems by examples.

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Two-Point Boundary Value Problems: Lower and Upper Solutions by P Habets

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.
"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 Solutions
SKU Unavailable
ISBN 13 9780444522009
ISBN 10 044452200X
Title Two-Point Boundary Value Problems: Lower and Upper Solutions
Author P Habets
Series Mathematics In Science And Engineering Ser
Condition Unavailable
Binding Type Hardback
Publisher Elsevier Science
Year published 2006-03-21
Number of pages 502
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.