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Two-point boundary value problemslow...

De Coster, Colette.

Two-point boundary value problemslower and upper solutions /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Two-point boundary value problemsColette 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
電子資源:	http://www.engineeringvillage.com/controller/servlet/OpenURL?genre=book&isbn=9780444522009
ISBN:	9780444522009

Two-point boundary value problemslower 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:

206979
Boundary value problems.
Index Terms--Genre/Form:

214472
Electronic books.

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

Dewey Class. No.: 515/.35

Two-point boundary value problemslower and upper solutions /
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037 $a 131843:131950 $b Elsevier Science & Technology $n http://www.sciencedirect.com
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100 1 $a De Coster, Colette. $3 455383
245 1 0 $a Two-point boundary value problems $h [electronic resource] : $b lower and upper solutions / $c Colette De Coster, Patrick Habets.
250 $a 1st ed.
260 $a Amsterdam ; $a Boston : $b Elsivier, $c c2006.
300 $a x, 489 p. ; $c 25 cm.
440 0 $a Mathematics in science and engineering, $x 0076-5392 ; $v v. 205
504 $a Includes bibliographical references (p. 463-487) and index.
505 0 $a 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.
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.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Boundary value problems. $3 206979
650 0 $a Functional differential equations. $3 455385
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Habets, Patrick. $3 455384
710 2 $a ScienceDirect (Online service) $3 307425
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856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/publication?issn=00765392&volume=205 $z An electronic book accessible through the World Wide Web; click for information
856 4 0 $3 Referex $u http://www.engineeringvillage.com/controller/servlet/OpenURL?genre=book&isbn=9780444522009 $z An electronic book accessible through the World Wide Web; click for information
938 $a Baker & Taylor $b BKTY $c 182.00 $d 182.00 $i 044452200X $n 0006691585 $s active
994 $a C0 $b TEF

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