Two-point boundary value problems [electronic resource] : lower and upper solutions / Colette De Coster, Patrick Habets.
- 作者： De Coster, Colette.
- 其他作者：
- 其他題名：
- Mathematics in science and engineering ;
- 出版： Amsterdam ;Boston : Elsivier c2006.
- 叢書名： Mathematics in science and engineering ,v. 205
- 主題： Boundary value problems. , Functional differential equations. , Electronic books
- 版本：1st ed.
- ISBN： 044452200X 、 9780444522009
- URL：
An electronic book accessible through the World Wide Web; click for information
- 一般註：Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
- 書目註：Includes bibliographical references (p. 463-487) and index.
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讀者標籤：
- 系統號： 005164295 | 機讀編目格式
館藏資訊
摘要註
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.
內容註
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.