Multiple Solutions of Boundary Value Problems: A Variational Approach
Language: English
Published by World Scientific Publishing Company, 2015
Series: Book 1 of 9 - Trends in Abstract and Applied Analysis
- Hardcover
- New
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- Title
- Multiple Solutions of Boundary Value Problems: A Variational Approach
- Author
- Graef John R
- Publisher
- World Scientific Publishing Company
- Publication year
- 2015
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9814696544
- ISBN 13
- 9789814696548
- Series
- Book 1 of 9: Trends in Abstract and Applied Analysis
Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.
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