Stability analysis of impulsive functional differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
De Gruyter
2009
|
| Series: | De Gruyter expositions in mathematics
52 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 213 - 226 |
| Physical Description: | VIII, 230 S. 25 cm |
| ISBN: | 9783110221817 |
Staff View
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| 245 | 1 | 0 | |a Stability analysis of impulsive functional differential equations |c by Ivanka Stamova |
| 264 | 1 | |a Berlin [u.a.] |b De Gruyter |c 2009 | |
| 300 | |a VIII, 230 S. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a De Gruyter expositions in mathematics |v 52 | |
| 500 | |a Literaturverz. S. 213 - 226 | ||
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| 650 | 4 | |a Impulsive differential equations | |
| 650 | 4 | |a Lyapunov stability | |
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
PREFACE VII
1 INTRODUCTION 1
1.1 PRELIMINARY NOTES 1
1.2 EXISTENCE, UNIQUENESS AND CONTINUABILITY 15
1.3 PIECEWISE CONTINUOUS LYAPUNOV FUNCTIONS 22
1.4 COMPARISON THEOREMS 25
2 LYAPUNOV STABILITY AND BOUNDEDNESS 31
2.1 LYAPUNOV STABILITY OF THE SOLUTIONS 31
2.2 THEOREMS ON BOUNDEDNESS 39
2.3 GLOBAL STABILITY OF THE SOLUTIONS 55
3 EXTENSIONS OF STABILITY AND BOUNDEDNESS THEORY 66
3.1 STABILITY AND BOUNDEDNESS OF SETS 66
3.2 CONDITIONAL STABILITY 87
3.3 PARAMETRIC STABILITY 94
3.4 EVENTUAL STABILITY AND BOUNDEDNESS 105
3.5 PRACTICAL STABILITY 112
3.6 LIPSCHITZ STABILITY 120
3.7 STABILITY IN TERMS OF TWO MEASURES 128
3.8 BOUNDEDNESS IN TERMS OF TWO MEASURES 135
4 APPLICATIONS 144
4.1 POPULATION MODELS 144
4.2 NEURAL NETWORKS 172
4.3 ECONOMIC MODELS 198
BIBLIOGRAPHY 213
INDEX 227
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/997086394
DIGITALISIERT DURCH |
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| indexdate | 2024-07-20T10:26:52Z |
| institution | BVB |
| isbn | 9783110221817 |
| language | English |
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| physical | VIII, 230 S. 25 cm |
| publishDate | 2009 |
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| publisher | De Gruyter |
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| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Stamova, Ivanka M. Verfasser (DE-588)139829288 aut Stability analysis of impulsive functional differential equations by Ivanka Stamova Berlin [u.a.] De Gruyter 2009 VIII, 230 S. 25 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 52 Literaturverz. S. 213 - 226 Functional differential equations Impulsive differential equations Lyapunov stability Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 gnd rswk-swf Funktionalgleichung (DE-588)4018923-5 s Impulsdifferentialgleichung (DE-588)4339336-6 s Ljapunov-Stabilitätstheorie (DE-588)4167992-1 s DE-604 De Gruyter expositions in mathematics 52 (DE-604)BV004069300 52 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3360098&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018855752&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stamova, Ivanka M. Stability analysis of impulsive functional differential equations De Gruyter expositions in mathematics Functional differential equations Impulsive differential equations Lyapunov stability Impulsdifferentialgleichung (DE-588)4339336-6 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Funktionalgleichung (DE-588)4018923-5 gnd |
| subject_GND | (DE-588)4339336-6 (DE-588)4167992-1 (DE-588)4018923-5 |
| title | Stability analysis of impulsive functional differential equations |
| title_auth | Stability analysis of impulsive functional differential equations |
| title_exact_search | Stability analysis of impulsive functional differential equations |
| title_full | Stability analysis of impulsive functional differential equations by Ivanka Stamova |
| title_fullStr | Stability analysis of impulsive functional differential equations by Ivanka Stamova |
| title_full_unstemmed | Stability analysis of impulsive functional differential equations by Ivanka Stamova |
| title_short | Stability analysis of impulsive functional differential equations |
| title_sort | stability analysis of impulsive functional differential equations |
| topic | Functional differential equations Impulsive differential equations Lyapunov stability Impulsdifferentialgleichung (DE-588)4339336-6 gnd Ljapunov-Stabilitätstheorie (DE-588)4167992-1 gnd Funktionalgleichung (DE-588)4018923-5 gnd |
| topic_facet | Functional differential equations Impulsive differential equations Lyapunov stability Impulsdifferentialgleichung Ljapunov-Stabilitätstheorie Funktionalgleichung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3360098&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018855752&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004069300 |
| work_keys_str_mv | AT stamovaivankam stabilityanalysisofimpulsivefunctionaldifferentialequations |