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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)
Resource Information
The item A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book highlights the current state of Lyapunovtype 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 Lyapunovtype 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 Lyapunovtype inequalities for differential equations. This classical area of mathematics is still of great interest and remains a source of inspiration.
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 XVIII, 120 p.
 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
 by Antonio Cañada, Salvador Villegas
 Subject

 Operational calculus
 Differential equations
 Partial Differential Equations
 Functional equations
 Partial differential equations
 Ordinary Differential Equations
 Difference equations
 Differential equations
 Functional equations
 Mathematics
 Differential equations
 Partial Differential Equations
 Operational calculus
 Mathematics
 Integral transforms
 Electronic resources
 Partial differential equations
 Mathematics
 Operational calculus
 Partial differential equations
 Functional equations
 Integral transforms
 Integral transforms
 Difference equations
 Difference and Functional Equations
 Integral Transforms, Operational Calculus
 Partial Differential Equations
 Difference equations
 Language
 eng
 Summary
 This book highlights the current state of Lyapunovtype 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 Lyapunovtype 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 Lyapunovtype inequalities for differential equations. This classical area of mathematics is still of great interest and remains a source of inspiration.
 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)
 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
 10.1007/9783319252896
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319252896
 Label
 A Variational Approach to Lyapunov Type Inequalities : From ODEs to PDEs, by Antonio Cañada, Salvador Villegas, (electronic resource)
 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
 10.1007/9783319252896
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319252896
Subject
 Difference and Functional Equations
 Difference equations
 Difference equations
 Difference equations
 Differential equations
 Differential equations
 Differential equations
 Electronic resources
 Functional equations
 Functional equations
 Functional equations
 Integral Transforms, Operational Calculus
 Integral transforms
 Integral transforms
 Integral transforms
 Mathematics
 Mathematics
 Mathematics
 Operational calculus
 Operational calculus
 Operational calculus
 Ordinary Differential Equations
 Partial Differential Equations
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 Partial differential equations
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