The Resource A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)

A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)

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
by Antonio Cañada, Salvador Villegas
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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
http://library.link/vocab/creatorName
Cañada, Antonio
Dewey number
510
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • ksesiyDGU5U
  • PTFzbKa3EAc
Language note
English
LC call number
QA372
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Villegas, Salvador.
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Differential Equations
  • Differential equations, partial
  • Functional equations
  • Integral Transforms
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Difference and Functional Equations
  • Integral Transforms, Operational Calculus
Label
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references at the end of each chapters and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
1. Introduction -- 2. A variational characterization of the best Lyapunov constants -- 3. Higher eigenvalues -- 4. Partial differential equations -- 5. Systems of equations -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (136 p.)
Form of item
online
Isbn
9783319252896
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-25289-6
Specific material designation
remote
System control number
  • (CKB)3710000000521715
  • (EBL)4107659
  • (SSID)ssj0001585638
  • (PQKBManifestationID)16263757
  • (PQKBTitleCode)TC0001585638
  • (PQKBWorkID)14864167
  • (PQKB)10402546
  • (DE-He213)978-3-319-25289-6
  • (MiAaPQ)EBC4107659
  • (EXLCZ)993710000000521715
Label
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references at the end of each chapters and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
1. Introduction -- 2. A variational characterization of the best Lyapunov constants -- 3. Higher eigenvalues -- 4. Partial differential equations -- 5. Systems of equations -- Index
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (136 p.)
Form of item
online
Isbn
9783319252896
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-25289-6
Specific material designation
remote
System control number
  • (CKB)3710000000521715
  • (EBL)4107659
  • (SSID)ssj0001585638
  • (PQKBManifestationID)16263757
  • (PQKBTitleCode)TC0001585638
  • (PQKBWorkID)14864167
  • (PQKB)10402546
  • (DE-He213)978-3-319-25289-6
  • (MiAaPQ)EBC4107659
  • (EXLCZ)993710000000521715

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