Generalized ordinary differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
1992
|
| Schriftenreihe: | Series in real analysis
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 382 S. |
| ISBN: | 9810212259 |
Internformat
MARC
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| 100 | 1 | |a Schwabik, Štefan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Generalized ordinary differential equations |c Štefan Schwabik |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 1992 | |
| 300 | |a IX, 382 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Series in real analysis |v 5 | |
| 650 | 4 | |a Equation Carathéodory | |
| 650 | 7 | |a Equações diferenciais ordinárias |2 larpcal | |
| 650 | 7 | |a Equações integrais |2 larpcal | |
| 650 | 4 | |a Intégrale Perron | |
| 650 | 4 | |a Intégration multiplicative | |
| 650 | 4 | |a Stabilité | |
| 650 | 4 | |a Système différentiel | |
| 650 | 4 | |a Théorème Ljapunov | |
| 650 | 4 | |a Théorème Tonelli | |
| 650 | 7 | |a Équations différentielles |2 ram | |
| 650 | 7 | |a Équations intégrales |2 ram | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Integral equations | |
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Verallgemeinerte Differentialgleichung |0 (DE-588)4187509-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 0 | 1 | |a Verallgemeinerte Differentialgleichung |0 (DE-588)4187509-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Series in real analysis |v 5 |w (DE-604)BV001898092 |9 5 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661948&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008661948 | ||
Datensatz im Suchindex
| _version_ | 1804127405934116864 |
|---|---|
| adam_text | CONTENTS
Preface vii
Chapter I. The generalized Perron inte¬
gral 1
Definition of the integral 1
Fundamental properties of the integral 9
Substitution theorem 19
Integration by parts 23
Convergence theorems 30
Inequalites for the integral 48
A Tonelli type theorem 61
Chapter II. Ordinary differential equa¬
tions and the Perron integral 69
Chapter III. Generalized ordinary dif¬
ferential equations 99
Chapter IV. Existence and uniqueness
of solutions of generalized differential
equations 112
Existence of solutions 112
Uniqueness of solutions 121
Maximal solutions 126
Chapter V. Generalized differential equa¬
tions and other concepts of differential
systems 131
Typeset by AmS T^H
v
vi
Caratheodory equations 140
Measure differential equations 146
Differential equations with impulses 152
Chapter VI. Generalized linear differen¬
tial equations 160
The fundamental matrix 174
The variation of constants formula 183
Boundary value problems 196
Chapter VII. Product integration and
generalized linear differential equations
202
Chapter VIII. Continuous dependence on
parameters for generalized ordinary dif¬
ferential equations 262
Applications to classical ODE s 296
Averaging for generalized ordinary differential
equations 299
Chapter IX. Emphatic convergence for
generalized ordinary differential equa¬
tions 308
Chapter X. Variational stability for gen¬
eralized ordinary differential equations
329
Concepts of stability 329
Ljapunov type theorems 344
Converse Ljapunov theorems 348
References 366
Index 381
|
| any_adam_object | 1 |
| author | Schwabik, Štefan |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)27668599 (DE-599)BVBBV012738524 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012738524 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:32:50Z |
| institution | BVB |
| isbn | 9810212259 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008661948 |
| oclc_num | 27668599 |
| open_access_boolean | |
| owner | DE-703 DE-384 DE-188 |
| owner_facet | DE-703 DE-384 DE-188 |
| physical | IX, 382 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in real analysis |
| series2 | Series in real analysis |
| spelling | Schwabik, Štefan Verfasser aut Generalized ordinary differential equations Štefan Schwabik Singapore [u.a.] World Scientific 1992 IX, 382 S. txt rdacontent n rdamedia nc rdacarrier Series in real analysis 5 Equation Carathéodory Equações diferenciais ordinárias larpcal Equações integrais larpcal Intégrale Perron Intégration multiplicative Stabilité Système différentiel Théorème Ljapunov Théorème Tonelli Équations différentielles ram Équations intégrales ram Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Verallgemeinerte Differentialgleichung (DE-588)4187509-6 s DE-604 Series in real analysis 5 (DE-604)BV001898092 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661948&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwabik, Štefan Generalized ordinary differential equations Series in real analysis Equation Carathéodory Equações diferenciais ordinárias larpcal Equações integrais larpcal Intégrale Perron Intégration multiplicative Stabilité Système différentiel Théorème Ljapunov Théorème Tonelli Équations différentielles ram Équations intégrales ram Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4187509-6 |
| title | Generalized ordinary differential equations |
| title_auth | Generalized ordinary differential equations |
| title_exact_search | Generalized ordinary differential equations |
| title_full | Generalized ordinary differential equations Štefan Schwabik |
| title_fullStr | Generalized ordinary differential equations Štefan Schwabik |
| title_full_unstemmed | Generalized ordinary differential equations Štefan Schwabik |
| title_short | Generalized ordinary differential equations |
| title_sort | generalized ordinary differential equations |
| topic | Equation Carathéodory Equações diferenciais ordinárias larpcal Equações integrais larpcal Intégrale Perron Intégration multiplicative Stabilité Système différentiel Théorème Ljapunov Théorème Tonelli Équations différentielles ram Équations intégrales ram Differential equations Integral equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Verallgemeinerte Differentialgleichung (DE-588)4187509-6 gnd |
| topic_facet | Equation Carathéodory Equações diferenciais ordinárias Equações integrais Intégrale Perron Intégration multiplicative Stabilité Système différentiel Théorème Ljapunov Théorème Tonelli Équations différentielles Équations intégrales Differential equations Integral equations Gewöhnliche Differentialgleichung Verallgemeinerte Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661948&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001898092 |
| work_keys_str_mv | AT schwabikstefan generalizedordinarydifferentialequations |