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)

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
Creator
Contributor
Author
Provider
Subject
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 self-contained 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 non-experts 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.
Member of
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)
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
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
10.1007/978-3-319-18248-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18248-3
Label
Asymptotic Integration of Differential and Difference Equations, by Sigrun Bodine, Donald A. Lutz, (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
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
10.1007/978-3-319-18248-3
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-18248-3

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