Theory of impulsive differential equations:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1989
|
| Schriftenreihe: | Series in modern applied mathematics
6 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | X, 273 S. |
| ISBN: | 9971509709 |
Internformat
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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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| 490 | 1 | |a Series in modern applied mathematics |v 6 | |
| 650 | 7 | |a Equations différentielles |2 ram | |
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Datensatz im Suchindex
| _version_ | 1819282143091621888 |
|---|---|
| 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
|
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| author | Lakshmikantham, Vangipuram 1926- Bainov, Drumi D. Simeonov, Pavel S. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002640268 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:53:09Z |
| institution | BVB |
| isbn | 9971509709 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001694112 |
| oclc_num | 19847261 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-703 DE-706 DE-188 |
| 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 |
| spellingShingle | Lakshmikantham, Vangipuram 1926- 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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