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The Resource A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book)

A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book)

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
Statement of responsibility
Antonio Cañada, Salvador Villegas
Creator
Contributor
Author
Subject
Language
eng
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 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 of mathematics is still of great interest and remains a source of inspiration.
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Cañada, Antonio
Dewey number
515.35
Index
index present
LC call number
QA372
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Villegas, Salvador
Series statement
Springer briefs in mathematics
http://library.link/vocab/subjectName
  • Differential equations, Linear
  • Differential equations, Partial
  • Lyapunov stability
Label
A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book)
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
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
1. Introduction -- 2. A variational characterization of the best Lyapunov constants -- 3. Higher eigenvalues -- 4. Partial differential equations -- 5. Systems of equations -- Index
Control code
SPR930709718
Dimensions
unknown
Extent
1 online resource (xviii, 120 pages).
File format
unknown
Form of item
online
Isbn
9783319252896
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book)
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
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
1. Introduction -- 2. A variational characterization of the best Lyapunov constants -- 3. Higher eigenvalues -- 4. Partial differential equations -- 5. Systems of equations -- Index
Control code
SPR930709718
Dimensions
unknown
Extent
1 online resource (xviii, 120 pages).
File format
unknown
Form of item
online
Isbn
9783319252896
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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