Ordinary differential equations in Banach spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1977
|
| Schriftenreihe: | Lecture notes in mathematics
596 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 136 S. |
| ISBN: | 3540082603 0387082603 |
Internformat
MARC
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| 100 | 1 | |a Deimling, Klaus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Ordinary differential equations in Banach spaces |c Klaus Deimling |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1977 | |
| 300 | |a VI, 136 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 596 | |
| 650 | 4 | |a Banach, Espaces de | |
| 650 | 7 | |a Banachruimten |2 gtt | |
| 650 | 7 | |a Gewone differentiaalvergelijkingen |2 gtt | |
| 650 | 4 | |a Équations différentielles | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Differential equations | |
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| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001287768 | ||
| 980 | 4 | |a (DE-12)AK04980541 | |
Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction 1
§ 1 Lipschitz type conditions 4
1. Existence and uniqueness 4
2. Approximate solutions 4
3. Extension of solutions 6
4. Linear equations 8
5. Excursion to nonlinear eigenvalue problems 13
6. Remarks 15
§ 2 Compactness conditions 18
1. Nonexistence 18
2. Measures of noncompactness 19
3. Existence 21
4. The set of solutions 23
5. Excursion to Ovcyannikov 25
6. Remarks 2 7
S 3 Conditions of dissipative type 32
1. Duality maps and semi-inner products 33
2. Uniqueness 37
3. Local existence 39
4. Global existence 40
5. Excursion to stochastic differential equations 41
6. Excursion to continuous accretive operators 44
7. Remarks t6
S 4 Solutions in closed sets 49
1. Boundary conditions 49
2. Approximate solutions 51
3. Existence 54
4. Examples 58
5. Remarks 62
§ 5 Flow invariance and differential inequalities 65
1. Boundary conditions 65
2. Flow invariance 67
3. Differential inequalities 70
4. Maximal and minimal solutions 72
5. Remarks 74
§ 6 Countable systems of ordinary differential equations 78
1. Lower diagonal systems 78
2. Row-finite systems 81
3. General systems 85
4. The function exp(At) 88
5. Remarks 91
VI
§ 7 Approximate solutions 95
1. Galerkin approximations in Banach spaces 96
2. Galerkin approximations for countable systems 98
3. Examples 102
M-. Remarks 106
§ 8 Related topics 113
1. Caratheodory conditions 113
2. Weaker continuity 116
3. Evolution equations 118
t. Qualitative properties 125
Bibliography 126
Index 137
|
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| indexdate | 2024-07-09T15:38:12Z |
| institution | BVB |
| isbn | 3540082603 0387082603 |
| language | English |
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| oclc_num | 721263577 |
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| physical | VI, 136 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Deimling, Klaus Verfasser aut Ordinary differential equations in Banach spaces Klaus Deimling Berlin [u.a.] Springer 1977 VI, 136 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 596 Banach, Espaces de Banachruimten gtt Gewone differentiaalvergelijkingen gtt Équations différentielles Banach spaces Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Differentialgleichung (DE-588)4012249-9 s Banach-Raum (DE-588)4004402-6 s Lecture notes in mathematics 596 (DE-604)BV000676446 596 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001287768&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Deimling, Klaus Ordinary differential equations in Banach spaces Lecture notes in mathematics Banach, Espaces de Banachruimten gtt Gewone differentiaalvergelijkingen gtt Équations différentielles Banach spaces Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Funktionalanalysis (DE-588)4018916-8 gnd Differentialgleichung (DE-588)4012249-9 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4018916-8 (DE-588)4012249-9 (DE-588)4004402-6 |
| title | Ordinary differential equations in Banach spaces |
| title_auth | Ordinary differential equations in Banach spaces |
| title_exact_search | Ordinary differential equations in Banach spaces |
| title_full | Ordinary differential equations in Banach spaces Klaus Deimling |
| title_fullStr | Ordinary differential equations in Banach spaces Klaus Deimling |
| title_full_unstemmed | Ordinary differential equations in Banach spaces Klaus Deimling |
| title_short | Ordinary differential equations in Banach spaces |
| title_sort | ordinary differential equations in banach spaces |
| topic | Banach, Espaces de Banachruimten gtt Gewone differentiaalvergelijkingen gtt Équations différentielles Banach spaces Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Funktionalanalysis (DE-588)4018916-8 gnd Differentialgleichung (DE-588)4012249-9 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach, Espaces de Banachruimten Gewone differentiaalvergelijkingen Équations différentielles Banach spaces Differential equations Gewöhnliche Differentialgleichung Funktionalanalysis Differentialgleichung Banach-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001287768&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT deimlingklaus ordinarydifferentialequationsinbanachspaces |