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Two-point boundary value problems = lower and upper solutions /

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Two-point boundary value problems/ Colette De Coster, Patrick Habets.
其他題名:	lower and upper solutions /
作者:	De Coster, Colette.
其他作者:	Habets, Patrick.
出版者:	Amsterdam ;Elsivier, : c2006.,
面頁冊數:	x, 489 p. ;25 cm.;
叢書名:	Mathematics in science and engineering,
標題:	Boundary value problems. -
電子資源:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444522009

Two-point boundary value problems = lower and upper solutions /
De Coster, Colette.

Two-point boundary value problemslower and upper solutions /[electronic resource] :Colette De Coster, Patrick Habets. - 1st ed. - Amsterdam ;Elsivier,c2006. - x, 489 p. ;25 cm. - Mathematics in science and engineering,v. 2050076-5392 ;.

Includes bibliographical references (p. 463-487) and index.

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.

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. Presents the fundamental features of the method Construction of lower and upper solutions in problems Working applications and illustrated theorems by examples Description of the history of the method and Bibliographical notes.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444522009

Source: 131843:131950Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

134906
Boundary value problems.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA379 / .D4 2006eb

Dewey Class. No.: 515/.35

Two-point boundary value problems = lower and upper solutions /
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520 $a 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. Presents the fundamental features of the method Construction of lower and upper solutions in problems Working applications and illustrated theorems by examples Description of the history of the method and Bibliographical notes.
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