The Resource Asymptotic integration of differential and difference equations, Sigrun Bodine, Donald A. Lutz

Asymptotic integration of differential and difference equations, Sigrun Bodine, Donald A. Lutz

Label
Asymptotic integration of differential and difference equations
Title
Asymptotic integration of differential and difference equations
Statement of responsibility
Sigrun Bodine, Donald A. Lutz
Creator
Contributor
Author
Subject
Genre
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
Cataloging source
HNK
http://library.link/vocab/creatorName
Bodine, Sigrun
Dewey number
515/.35
Index
index present
LC call number
QA372
LC item number
.B63 2015eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Lutz, Donald A.
Series statement
Lecture notes in mathematics,
Series volume
2129
http://library.link/vocab/subjectName
  • Differential equations
  • Differential-difference equations
  • Differential-difference equations
  • Differential equations
  • Mathematics
  • Physical Sciences & Mathematics
  • Calculus
  • Mathematics
  • Mathematics
  • Differential calculus & equations
  • Mathematics
Label
Asymptotic integration of differential and difference equations, Sigrun Bodine, Donald A. Lutz
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-18248-3
Instantiates
Publication
Copyright
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
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
1 online resource (xi, 402 pages).
Form of item
online
Isbn
9783319182483
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-18248-3
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910498106
  • (OCoLC)ocn910498106
Label
Asymptotic integration of differential and difference equations, Sigrun Bodine, Donald A. Lutz
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-18248-3
Publication
Copyright
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
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
1 online resource (xi, 402 pages).
Form of item
online
Isbn
9783319182483
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-18248-3
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910498106
  • (OCoLC)ocn910498106

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