
- 502 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Two-Point Boundary Value Problems: Lower and Upper Solutions
About this book
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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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Two-Point Boundary Value Problems: Lower and Upper Solutions by C. De Coster,P. Habets in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright page
- Preface
- Notations
- Introduction-The History
- Chapter I: The Periodic Problem
- Chapter II: The Separated BVP
- Chapter III: Relation with Degree Theory
- Chapter IV: Variational Methods
- Chapter V: Monotone Iterative Methods
- Chapter VI: Parametric Multiplicity Problems
- Chapter VII: Resonance and Non-resonance
- Chapter VIII: Positive Solutions
- Chapter IX: Problems with Singular Forces
- Chapter X: Singular Perturbations
- Chapter XI: Bibliographical Notes
- Appendix
- Bibliography
- Index