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

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

Label
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs
Title
A Variational Approach to Lyapunov Type Inequalities
Title remainder
From ODEs to PDEs
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Subject
Language
eng
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Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
SpringerBriefs in Mathematics
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs
Label
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4107659
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Foreword -- Preface -- Acknowledgments -- Contents -- Acronyms and Notation -- 1 Introduction -- 1.1 Stability, Resonance, and Lyapunov Inequalities -- 1.2 Overview of the Book -- References -- 2 A Variational Characterization of the Best Lyapunov Constants -- 2.1 Neumann Boundary Conditions, As a Paradigm of Linear Resonant Problems -- 2.2 Nonlinear Neumann Problems -- 2.3 The Variational Method for Other Boundary Conditions -- 2.4 Disfocality -- References -- 3 Higher Eigenvalues -- 3.1 Motivation of the Problem: Neumann and Dirichlet Boundary Conditions -- 3.2 Periodic and Antiperiodic Boundary Conditions -- 3.3 The n th Stability Zone of Linear Periodic Equations -- 3.4 Nonlinear Problems -- 3.5 Disfocality at Higher Eigenvalues -- References -- 4 Partial Differential Equations -- 4.1 L1-Lyapunov Inequality is Meaningless for PDEs -- 4.2 Lp-Lyapunov Inequalities -- 4.2.1 The Subcritical Case -- 4.2.2 The Critical Case -- 4.2.3 The Supercritical Case -- 4.2.4 Qualitative Properties of Ýp -- 4.3 Nonlinear Problems -- 4.4 Radial Higher Eigenvalues -- 4.4.1 The Subcritical Case -- 4.4.2 The Critical Case -- 4.4.3 The Supercritical Case -- References -- 5 Systems of Equations -- 5.1 Motivation and the Meaning of Lyapunov Inequalities for Systems of Equations -- 5.2 Neumann and Dirichlet Boundary Conditions -- 5.3 Periodic and Antiperiodic Boundary Conditions -- 5.4 Nonlinear Resonant Problems -- 5.5 Stability of Linear Periodic Systems -- 5.6 Partial Differential Equations -- References -- Index
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b4384250'}
Extent
1 online resource (136 pages)
Form of item
online
Isbn
9783319252896
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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