Theory of integro-differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Luxembourg u.a.
Gordon and Breach
1995
|
| Schriftenreihe: | Stability and control
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 362 S. |
| ISBN: | 2884490000 |
Internformat
MARC
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| 245 | 1 | 0 | |a Theory of integro-differential equations |c V. Lakshmikantham and M. Rama Mohana Rao |
| 264 | 1 | |a Luxembourg u.a. |b Gordon and Breach |c 1995 | |
| 300 | |a X, 362 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Stability and control |v 1 | |
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| 689 | 0 | |5 DE-604 | |
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| 830 | 0 | |a Stability and control |v 1 |w (DE-604)BV010641392 |9 1 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-007100027 | ||
Datensatz im Suchindex
| _version_ | 1804125116813017088 |
|---|---|
| adam_text | CONTENTS
Preface ix
Chapter 1. Basic Theory
1.0 Introduction 1
1.1 Local and Global Existence 2
1.2 Integro differential Inequalities 7
1.3 Existence of Extremal Solutions 9
1.4 Comparison Results 13
1.5 Convergence of Successive Approximations 19
1.6 Continuous Dependence 22
1.7 Linear Variation of Parameters 24
1.8 Nonlinear Variation of Parameters 31
1.9 Monotone Iterative Technique 36
1.10 Interval Analytic Method 43
1.11 Notes and Comments 48
Chapter 2. Linear Analysis
2.0 Introduction 49
2.1 Basic Properties of Linear Systems 50
2.2 Stability of Linear Convolution Systems 51
2.3 Stability Criteria for General Linear Systems 58
2.4 Stability by Method of Reduction 64
2.5 Stability in Variation 68
v
2.6 Lipschitz Stability 75
2.7 Asymptotic Equivalence 80
2.8 Ultimate Behavior of Solutions 93
2.9 Difference Equations 99
2.10 Impulsive Integro differential Systems 106
2.11 Periodic Solutions 115
2.12 Notes and Comments 122
Chapter 3. Lyapunov Stability
3.0 Introduction 125
3.1 Method of Lyapunov Functionals 126
3.2 Equations with Unbounded Delay 137
3.3 Perturbed systems 145
3.4 Method of Lyapunov Functions 158
3.5 Lyapunov Functions on Product Spaces 171
3.6 Impulsive Integro differential Equations 181
3.7 Impulsive Integro differential Equations (continued) 191
3.8 Notes and Comments 199
Chapter 4. Equations in Abstract Spaces
4.0 Introduction 201
4.1 Existence and Uniqueness 202
4.2 Existence of Maximal and Minimal Solutions 210
4.3 Well Posedness of Linear Equations 218
4.4 Semigroups and Resolvent Operators 229
4.5 Evolution Operators and Resolvents 238
4.6 Asymptotic Behavior and Perturbations 250
4.7 Stability of Solutions 254
4.8 Notes and Comments 268
Chapter 5. Applications
5.0 Introduction 271
5.1 Biological Population 272
5.2 Grazing Systems 281
vi
5.3 Wave Propagation 293
5.4 Nuclear Reactors 301
5.5 Viscoelasticity 310
5.6 Large Scale Systems 324
5.7 Notes and Comments 337
References 339
Index 357
vii
|
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| author | Lakshmikantham, Vangipuram 1926- Rama Mohana Rao, M. |
| author_GND | (DE-588)104268050 (DE-588)128842172 |
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| classification_rvk | SK 500 |
| classification_tum | MAT 390f |
| ctrlnum | (OCoLC)634679470 (DE-599)BVBBV010641466 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010641466 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:56:27Z |
| institution | BVB |
| isbn | 2884490000 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007100027 |
| oclc_num | 634679470 |
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| owner_facet | DE-91 DE-BY-TUM DE-703 DE-11 |
| physical | X, 362 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Gordon and Breach |
| record_format | marc |
| series | Stability and control |
| series2 | Stability and control |
| spelling | Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Theory of integro-differential equations V. Lakshmikantham and M. Rama Mohana Rao Luxembourg u.a. Gordon and Breach 1995 X, 362 S. txt rdacontent n rdamedia nc rdacarrier Stability and control 1 Integrodifferentialgleichung (DE-588)4161939-0 gnd rswk-swf Integrodifferentialgleichung (DE-588)4161939-0 s DE-604 Rama Mohana Rao, M. Verfasser (DE-588)128842172 aut Stability and control 1 (DE-604)BV010641392 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007100027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Rama Mohana Rao, M. Theory of integro-differential equations Stability and control Integrodifferentialgleichung (DE-588)4161939-0 gnd |
| subject_GND | (DE-588)4161939-0 |
| title | Theory of integro-differential equations |
| title_auth | Theory of integro-differential equations |
| title_exact_search | Theory of integro-differential equations |
| title_full | Theory of integro-differential equations V. Lakshmikantham and M. Rama Mohana Rao |
| title_fullStr | Theory of integro-differential equations V. Lakshmikantham and M. Rama Mohana Rao |
| title_full_unstemmed | Theory of integro-differential equations V. Lakshmikantham and M. Rama Mohana Rao |
| title_short | Theory of integro-differential equations |
| title_sort | theory of integro differential equations |
| topic | Integrodifferentialgleichung (DE-588)4161939-0 gnd |
| topic_facet | Integrodifferentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007100027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010641392 |
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