Multiple Solutions Of Boundary Value Problems: A Variational Approach
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A01=John R Graef
A01=Lingju Kong
Author_John R Graef
Author_Lingju Kong
Category=PBKJ
Critical Point Theory
Difference Equations
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eq_isMigrated=2
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Impulsive Problems
Multi-point Boundary Value Problems
Ordinary Differential Equations
Partial Differential Equations
Periodic Solutions
Sturm-Liouville Problems
SturmAcAEURA"Liouville Problems
Sturm–Liouville Problems
Variational Methods
Product details
- ISBN 9789814696548
- Publication Date: 16 Oct 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
