| Edition |
1st ed. |
| Description |
1 online resource (x, 489 pages) |
|
text txt rdacontent |
|
computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Mathematics in science and engineering, 0076-5392 ; v. 205 |
|
Mathematics in science and engineering ; v. 205. 0076-5392
|
| Summary |
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. |
| Contents |
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. |
| Bibliography |
Includes bibliographical references (pages 463-487) and index. |
| Note |
Print version record. |
| Language |
English. |
| Subject |
Boundary value problems.
|
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Functional differential equations.
|
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Problèmes aux limites.
|
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Équations différentielles fonctionnelles.
|
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MATHEMATICS -- Differential Equations -- General.
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Boundary value problems
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Functional differential equations
|
| Added Author |
Habets, Patrick.
|
| Other Form: |
Print version: De Coster, Colette. Two-point boundary value problems. 1st ed. Amsterdam ; Boston : Elsivier, ©2006 044452200X 9780444522009 (OCoLC)70140613 |
| ISBN |
9780444522009 |
|
044452200X |
|
0080462472 (electronic bk.) |
|
9780080462479 (electronic bk.) |
|
1280634138 |
|
9781280634130 |
|
9786610634132 |
|
6610634130 |
| Standard No. |
AU@ 000048130800 |
|
CHNEW 001006023 |
|
DEBBG BV036962287 |
|
DEBBG BV039830155 |
|
DEBBG BV042317299 |
|
DEBSZ 276123190 |
|
DEBSZ 482353961 |
|
NZ1 12434654 |
|
AU@ 000075312618 |
|
