Dynamical systems and evolution equations: theory and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Press
1980
|
| Schriftenreihe: | Mathematical concepts and methods in science and engineering
20 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 236 S. |
| ISBN: | 0306403625 |
Internformat
MARC
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| 100 | 1 | |a Walker, John A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamical systems and evolution equations |b theory and applications |c J. A. Walker |
| 264 | 1 | |a New York u.a. |b Plenum Press |c 1980 | |
| 300 | |a VIII, 236 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical concepts and methods in science and engineering |v 20 | |
| 650 | 7 | |a Differentiaaltopologie |2 gtt | |
| 650 | 7 | |a Dynamische systemen |2 gtt | |
| 650 | 7 | |a Topologische dynamica |2 gtt | |
| 650 | 4 | |a Topología diferencial | |
| 650 | 4 | |a Topología dinámica | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential topology | |
| 650 | 4 | |a Evolution equations | |
| 650 | 4 | |a Lyapunov functions | |
| 650 | 4 | |a Topological dynamics | |
| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches System |0 (DE-588)4013396-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
| 689 | 2 | 1 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Mathematical concepts and methods in science and engineering |v 20 |w (DE-604)BV000001144 |9 20 | |
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| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001488093 | ||
Datensatz im Suchindex
| _version_ | 1804116722100207616 |
|---|---|
| adam_text | Contents
Chapter I. Evolution Equations ont I
1. The Space 61 2
2. Evolution Equations on SI 3
3. Finite Escape Times 9
4. Processes on 61 X 61 12
5. Linear Dynamical Systems 15
6. The Simplest Class of Processes 17
7. Stability of a Particular Motion: Processes 19
8. Stability of Equilibrium: Dynamical Systems 23
9. Stability of Equilibrium: Linear Dynamical Systems 30
10. Quadratic Liapunov Functions and Linearization 35
11. The Invariance Principle and Asymptotic Behavior 38
12. Comments and Extensions 42
References 47
Chapter II. Preliminaries for Abstract Evolution Equations 49
1. Abstract Spaces 51
2. Functions 59
3. Linear Functions 70
4. Differentiation of Functions 75
5. Abstract Evolution Equations 81
References 83
Chapter III. Abstract Dynamical Systems and Evolution Equations 85
1. Dynamical Systems and C0 Semigroups 86
2. Linear Dynamical Systems 87
3. Generation of Linear Dynamical Systems 91
4. Choosing the State Space in Applications 103
5. Generation of Nonlinear Dynamical Systems 116
6. Comments and Extensions 129
References 135
vii
viii • Contents
Chapter IV. Some Topological Dynamics 137
1. Liapunov Functions and Positive Invariance 138
2. Computation of V 146
3. Stability and Liapunov s Direct Method 154
4. Positive Limit Sets and the Invariance Principle 164
5. Orbital Precompactness and Use of the Invariance Principle 175
6. Comments and Extensions 193
References 196
Chapter V. Applications and Special Topics 199
1. A Feedback Control Problem 200
2. The Thermoelastic Stability Problem 203
3. The Viscoelastic Stability Problem 207
4. A Fission Reactor Stability Problem 210
5. A Supersonic Panel Flutter Problem 216
6. Discrete Dynamical Systems 222
7. Finite Dimensional Approximation 225
References 229
Index 233
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
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| dewey-search | 514/.7 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV002264461 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:43:01Z |
| institution | BVB |
| isbn | 0306403625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001488093 |
| oclc_num | 5239616 |
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| physical | VIII, 236 S. |
| psigel | TUB-nveb |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Plenum Press |
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| series | Mathematical concepts and methods in science and engineering |
| series2 | Mathematical concepts and methods in science and engineering |
| spelling | Walker, John A. Verfasser aut Dynamical systems and evolution equations theory and applications J. A. Walker New York u.a. Plenum Press 1980 VIII, 236 S. txt rdacontent n rdamedia nc rdacarrier Mathematical concepts and methods in science and engineering 20 Differentiaaltopologie gtt Dynamische systemen gtt Topologische dynamica gtt Topología diferencial Topología dinámica Differentiable dynamical systems Differential topology Evolution equations Lyapunov functions Topological dynamics Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s DE-604 Evolutionsgleichung (DE-588)4129061-6 s Mathematical concepts and methods in science and engineering 20 (DE-604)BV000001144 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488093&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walker, John A. Dynamical systems and evolution equations theory and applications Mathematical concepts and methods in science and engineering Differentiaaltopologie gtt Dynamische systemen gtt Topologische dynamica gtt Topología diferencial Topología dinámica Differentiable dynamical systems Differential topology Evolution equations Lyapunov functions Topological dynamics Evolutionsgleichung (DE-588)4129061-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4129061-6 (DE-588)4013396-5 |
| title | Dynamical systems and evolution equations theory and applications |
| title_auth | Dynamical systems and evolution equations theory and applications |
| title_exact_search | Dynamical systems and evolution equations theory and applications |
| title_full | Dynamical systems and evolution equations theory and applications J. A. Walker |
| title_fullStr | Dynamical systems and evolution equations theory and applications J. A. Walker |
| title_full_unstemmed | Dynamical systems and evolution equations theory and applications J. A. Walker |
| title_short | Dynamical systems and evolution equations |
| title_sort | dynamical systems and evolution equations theory and applications |
| title_sub | theory and applications |
| topic | Differentiaaltopologie gtt Dynamische systemen gtt Topologische dynamica gtt Topología diferencial Topología dinámica Differentiable dynamical systems Differential topology Evolution equations Lyapunov functions Topological dynamics Evolutionsgleichung (DE-588)4129061-6 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Differentiaaltopologie Dynamische systemen Topologische dynamica Topología diferencial Topología dinámica Differentiable dynamical systems Differential topology Evolution equations Lyapunov functions Topological dynamics Evolutionsgleichung Dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001488093&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001144 |
| work_keys_str_mv | AT walkerjohna dynamicalsystemsandevolutionequationstheoryandapplications |