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
Provider
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
http://library.link/vocab/creatorName
Cañada, Antonio
Image bit depth
0
LC call number
QA372
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Villegas, Salvador.
  • SpringerLink
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Integral transforms
  • Operational calculus
  • Differential equations
  • Partial differential equations
  • Mathematics
  • 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
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XVIII, 120 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319252896
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-25289-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25289-6
Label
A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XVIII, 120 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319252896
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-25289-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-25289-6

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