A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs

Language: English

Published by Palgrave Macmillan, 2015

3319252879 / 9783319252872

Series: Book 63 of 155 - SpringerBriefs in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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 emphasis on basic ideas are provided for different boundary conditions for ordinary differential equations, including Neumann, Dirichlet, periodic, and antiperiodic conditions. Novel results of higher eigenvalues, systems of equations, partial differential equations as well as variational approaches are presented. To this respect, a new and unified variational point of view is introduced for the treatment of such problems and a systematic discussion of different types of boundary conditions is featured. Various problems make the study of Lyapunov-type inequalities of interest to those in pure and applied mathematics. 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 quotients and oscillation and intervals of disconjugacy and it lead to the study of Lyapunov-type inequalities for differential equations. This classical area ofmathematics is still of great interest and remains a source of inspiration.…

Seller Inventory # 9783319252872

Title
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs
Author
Salvador Villegas
Publisher
Palgrave Macmillan
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319252879
ISBN 13
9783319252872
Item weight
224 grams
Dimensions
235x155x8 mm
Series
Book 63 of 155: SpringerBriefs in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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