Theory of impulsive differential equations:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1989
|
| Series: | Series in modern applied mathematics
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 273 S. |
| ISBN: | 9971509709 |
Staff View
MARC
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| 245 | 1 | 0 | |a Theory of impulsive differential equations |c V. Lakshmikantham ; D. D. Bainov ; P. S. Simeonov |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1989 | |
| 300 | |a X, 273 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Series in modern applied mathematics |v 6 | |
| 650 | 7 | |a Equations différentielles |2 ram | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Impulsive differential equations | |
| 650 | 0 | 7 | |a Impulsdifferentialgleichung |0 (DE-588)4339336-6 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text |
ix
CONTENTS
Preface v
Chapter 1.
1.0. Introduction 1
1.1. Description of Systems with Impulses 2
1.2. Existence and Continuation 11
1.3. Pulse Phenomena 21
1.4. Impulsive Differential Inequalities 32
1.5. Impulsive Integral Inequalities 41
1.6. Impulsive Differential Inequalities (continued) 51
1.7. Notes 55
Chapter 2.
2.0. Introduction 57
2.1. Global Existence 58
2.2. Uniqueness and Estimates 63
2.3. Dependence on Initial Values 68
2.4. Differentiability Relative to Initial Values 73
2.5. Variation of Parameters 83
2.6. Comparison Results 85
2.7. Method of Upper and Lower Solutions 91
2.8. Monotone Iterative Technique 97
2.9. Definitions of Stability 102
2.10. Stability Criteria 105
2.11. Stability by Linear Approximation 113
2.12. Quasi Stability Criteria 119
2.13. Notes 127
X
Chapter 3.
3.0. Introduction 131
3.1. Basic Comparison Results 131
3.2. Stability Criteria 139
3.3. Vector Lyapunov Functions 146
3.4. Stability Concepts in Terms of Two Measures 148
3.5. Stability Criteria in Terms of Two Measures 151
3.6. Global Stability Criteria 168
3.7. Stability Criteria in Terms of Two Measures (continued) 177
3.8. Quasi Stability Criteria 185
3.9. Notes 194
Chapter 4.
4.0. Introduction 197
4.1. Singularly Perturbed Systems 197
4.2. Systems with Variable Structure 207
4.3. Integro Differential Systems 211
4.4. Periodic Boundary Value Problems for Second Order Systems 222
4.5. Impulsive Differential Inequalities 234
4.6. Delay Differential Equations 241
4.7. Dynamical Systems 251
4.8. Notes 263
References 265 |
| any_adam_object | 1 |
| author | Lakshmikantham, Vangipuram 1926-2012 Bainov, Drumi D. Simeonov, Pavel S. |
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| ctrlnum | (OCoLC)19847261 (DE-599)BVBBV002640268 |
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| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002640268 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-17T09:01:13Z |
| institution | BVB |
| isbn | 9971509709 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001694112 |
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| owner_facet | DE-12 DE-384 DE-739 DE-703 DE-706 DE-188 |
| physical | X, 273 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in modern applied mathematics |
| series2 | Series in modern applied mathematics |
| spelling | Lakshmikantham, Vangipuram 1926-2012 Verfasser (DE-588)104268050 aut Theory of impulsive differential equations V. Lakshmikantham ; D. D. Bainov ; P. S. Simeonov Singapore [u.a.] World Scientific 1989 X, 273 S. txt rdacontent n rdamedia nc rdacarrier Series in modern applied mathematics 6 Equations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd rswk-swf Impulsdifferentialgleichung (DE-588)4339336-6 s DE-604 Bainov, Drumi D. Verfasser aut Simeonov, Pavel S. Verfasser aut Series in modern applied mathematics 6 (DE-604)BV000017768 6 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001694112&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926-2012 Bainov, Drumi D. Simeonov, Pavel S. Theory of impulsive differential equations Series in modern applied mathematics Equations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| subject_GND | (DE-588)4339336-6 |
| title | Theory of impulsive differential equations |
| title_auth | Theory of impulsive differential equations |
| title_exact_search | Theory of impulsive differential equations |
| title_full | Theory of impulsive differential equations V. Lakshmikantham ; D. D. Bainov ; P. S. Simeonov |
| title_fullStr | Theory of impulsive differential equations V. Lakshmikantham ; D. D. Bainov ; P. S. Simeonov |
| title_full_unstemmed | Theory of impulsive differential equations V. Lakshmikantham ; D. D. Bainov ; P. S. Simeonov |
| title_short | Theory of impulsive differential equations |
| title_sort | theory of impulsive differential equations |
| topic | Equations différentielles ram Differential equations Impulsive differential equations Impulsdifferentialgleichung (DE-588)4339336-6 gnd |
| topic_facet | Equations différentielles Differential equations Impulsive differential equations Impulsdifferentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001694112&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000017768 |
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