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)
Resource Information
The item A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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.
- Language
- eng
- Extent
- 1 online resource (xviii, 120 pages).
- Contents
-
- 1. Introduction
- 2. A variational characterization of the best Lyapunov constants
- 3. Higher eigenvalues
- 4. Partial differential equations
- 5. Systems of equations
- Index
- Isbn
- 9783319252896
- 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
- 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.
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/A-variational-approach-to-Lyapunov-type/ec-LSesYXbQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/A-variational-approach-to-Lyapunov-type/ec-LSesYXbQ/">A variational approach to Lyapunov type inequalities : from ODEs to PDEs, Antonio Cañada, Salvador Villegas, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
