Two-point boundary value problems[el...
De Coster, Colette.

 

  • Two-point boundary value problems[electronic resource] :lower and upper solutions /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 515/.35
    書名/作者: Two-point boundary value problems : lower and upper solutions // Colette De Coster, Patrick Habets.
    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.
    標題: Functional differential equations.
    ISBN: 9780444522009
    ISBN: 044452200X
    書目註: Includes bibliographical references (p. 463-487) and index.
    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.
    摘要、提要註: 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.
    電子資源: An electronic book accessible through the World Wide Web; click for information
    電子資源: An electronic book accessible through the World Wide Web; click for information
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