Asymptotic integration of differential and difference equations:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2015
|
Schriftenreihe: | Lecture Notes in Mathematics
2129 |
Schlagworte: | |
Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XI, 402 S.) |
ISBN: | 9783319182483 9783319182476 |
ISSN: | 0075-8434 |
DOI: | 10.1007/978-3-319-18248-3 |
Internformat
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Datensatz im Suchindex
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adam_text | ASYMPTOTIC INTEGRATION OF DIFFERENTIAL AND DIFFERENCE EQUATIONS
/ BODINE, SIGRUN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ASYMPTOTIC INTEGRATION OF DIFFERENTIAL AND DIFFERENCE EQUATIONS
/ BODINE, SIGRUN
: 2015
ABSTRACT / INHALTSTEXT
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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Bodine, Sigrun Lutz, Donald A. 1940- |
author_GND | (DE-588)1072042061 (DE-588)1072042231 |
author_facet | Bodine, Sigrun Lutz, Donald A. 1940- |
author_role | aut aut |
author_sort | Bodine, Sigrun |
author_variant | s b sb d a l da dal |
building | Verbundindex |
bvnumber | BV042592263 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-LNM |
ctrlnum | (OCoLC)910755382 (DE-599)BVBBV042592263 |
dewey-full | 515.352 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.352 |
dewey-search | 515.352 |
dewey-sort | 3515.352 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-18248-3 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:05:26Z |
institution | BVB |
isbn | 9783319182483 9783319182476 |
issn | 0075-8434 |
language | English |
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publishDate | 2015 |
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publisher | Springer |
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series | Lecture Notes in Mathematics |
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spelling | Bodine, Sigrun Verfasser (DE-588)1072042061 aut Asymptotic integration of differential and difference equations Sigrun Bodine ; Donald A. Lutz Cham [u.a.] Springer 2015 1 Online-Ressource (XI, 402 S.) txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2129 0075-8434 Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Differenzengleichung (DE-588)4012264-5 s Integration Mathematik (DE-588)4072852-3 s 1\p DE-604 Lutz, Donald A. 1940- Verfasser (DE-588)1072042231 aut Lecture Notes in Mathematics 2129 (DE-604)BV014303148 2129 https://doi.org/10.1007/978-3-319-18248-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025475&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bodine, Sigrun Lutz, Donald A. 1940- Asymptotic integration of differential and difference equations Lecture Notes in Mathematics Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differenzengleichung (DE-588)4012264-5 gnd Integration Mathematik (DE-588)4072852-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
subject_GND | (DE-588)4012264-5 (DE-588)4072852-3 (DE-588)4012249-9 |
title | Asymptotic integration of differential and difference equations |
title_auth | Asymptotic integration of differential and difference equations |
title_exact_search | Asymptotic integration of differential and difference equations |
title_full | Asymptotic integration of differential and difference equations Sigrun Bodine ; Donald A. Lutz |
title_fullStr | Asymptotic integration of differential and difference equations Sigrun Bodine ; Donald A. Lutz |
title_full_unstemmed | Asymptotic integration of differential and difference equations Sigrun Bodine ; Donald A. Lutz |
title_short | Asymptotic integration of differential and difference equations |
title_sort | asymptotic integration of differential and difference equations |
topic | Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differenzengleichung (DE-588)4012264-5 gnd Integration Mathematik (DE-588)4072852-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
topic_facet | Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differenzengleichung Integration Mathematik Differentialgleichung |
url | https://doi.org/10.1007/978-3-319-18248-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025475&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV014303148 |
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