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The Resource Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (electronic resource)
Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (electronic resource)
Resource Information
The item Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (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 Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (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 presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a selfcontained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to nonexperts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.
 Language
 eng
 Extent
 XI, 402 p.
 Contents

 Introduction, Notation, and Background
 Asymptotic Integration for Differential Systems
 Asymptotics for Solutions of Difference Systems
 Conditioning Transformations for Differential Systems
 Conditioning Transformations for Difference Systems
 Perturbations of Jordan Differential Systems
 Perturbations of Jordan Difference Systems
 Applications to Classes of Scalar Linear Differential Equations
 Applications to Classes of Scalar Linear Difference Equations
 Asymptotics for Dynamic Equations on Time Scales
 Isbn
 9783319182483
 Label
 Asymptotic Integration of Differential and Difference Equations
 Title
 Asymptotic Integration of Differential and Difference Equations
 Statement of responsibility
 by Sigrun Bodine, Donald A. Lutz
 Language
 eng
 Summary
 This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a selfcontained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to nonexperts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.
 http://library.link/vocab/creatorName
 Bodine, Sigrun
 Image bit depth
 0
 LC call number
 QA372
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Lutz, Donald A.
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2129
 http://library.link/vocab/subjectName

 Mathematics
 Functional equations
 Differential Equations
 Mathematics
 Ordinary Differential Equations
 Difference and Functional Equations
 Label
 Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (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
 Introduction, Notation, and Background  Asymptotic Integration for Differential Systems  Asymptotics for Solutions of Difference Systems  Conditioning Transformations for Differential Systems  Conditioning Transformations for Difference Systems  Perturbations of Jordan Differential Systems  Perturbations of Jordan Difference Systems  Applications to Classes of Scalar Linear Differential Equations  Applications to Classes of Scalar Linear Difference Equations  Asymptotics for Dynamic Equations on Time Scales
 Dimensions
 unknown
 Extent
 XI, 402 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319182483
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319182483
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319182483
 Label
 Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (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
 Introduction, Notation, and Background  Asymptotic Integration for Differential Systems  Asymptotics for Solutions of Difference Systems  Conditioning Transformations for Differential Systems  Conditioning Transformations for Difference Systems  Perturbations of Jordan Differential Systems  Perturbations of Jordan Difference Systems  Applications to Classes of Scalar Linear Differential Equations  Applications to Classes of Scalar Linear Difference Equations  Asymptotics for Dynamic Equations on Time Scales
 Dimensions
 unknown
 Extent
 XI, 402 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319182483
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319182483
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319182483
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