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A variational approach to Lyapunov type inequalities : from ODEs to PDEs

Author: Antonio Cañada; Salvador Villegas
Publisher: Cham : Springer, [2015] ©2015
Series: SpringerBriefs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov's original results and moves forward to include prevalent results obtained in the past ten years. Detailed proofs and an  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Antonio Cañada; Salvador Villegas
ISBN: 9783319252896 3319252895
OCLC Number: 930709718
Description: 1 online resource (xviii, 120 pages).
Contents: 1. Introduction --
2. A variational characterization of the best Lyapunov constants --
3. Higher eigenvalues --
4. Partial differential equations --
5. Systems of equations --
Index.
Series Title: SpringerBriefs in mathematics.
Responsibility: Antonio Cañada, Salvador Villegas.

Abstract:

Originating with the study of the stability properties of the Hill equation, other questions arose for instance in systems at resonance, crystallography, isoperimetric problems, Rayleigh type  Read more...

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"The monograph is self-contained and well written. In each chapter, some main references, most of which are up-to date, are given. The monograph will be a useful reference for mathematicians and Read more...

 
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