Basic Topological Structures of Ordinary Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1998
|
| Series: | Mathematics and Its Applications
432 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and Functional Analysis meet. In what concerns equations with discontinuities and differential inclu sions, we do not restrict the consideration to the Cauchy problem, but we show how to develop an advanced theory whose volume is commensurable with the volume of the existing theory of Ordinary Differential Equations. The level of the account rises in the book step by step from second year student to working scientist |
| Physical Description: | 1 Online-Ressource (XIV, 522 p) |
| ISBN: | 9789401708418 9789048149957 |
| DOI: | 10.1007/978-94-017-0841-8 |
Staff View
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| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401708418 9789048149957 |
| language | English |
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| publisher | Springer Netherlands |
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| spelling | Filippov, V. V. Verfasser aut Basic Topological Structures of Ordinary Differential Equations by V. V. Filippov Dordrecht Springer Netherlands 1998 1 Online-Ressource (XIV, 522 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 432 The aim of this book is a detailed study of topological effects related to continuity of the dependence of solutions on initial values and parameters. This allows us to develop cheaply a theory which deals easily with equations having singularities and with equations with multivalued right hand sides (differential inclusions). An explicit description of corresponding topological structures expands the theory in the case of equations with continuous right hand sides also. In reality, this is a new science where Ordinary Differential Equations, General Topology, Integration theory and Functional Analysis meet. In what concerns equations with discontinuities and differential inclu sions, we do not restrict the consideration to the Cauchy problem, but we show how to develop an advanced theory whose volume is commensurable with the volume of the existing theory of Ordinary Differential Equations. The level of the account rises in the book step by step from second year student to working scientist Mathematics Functional analysis Differential Equations Topology Ordinary Differential Equations Functional Analysis Mathematik Topologische Struktur (DE-588)4332615-8 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Topologische Struktur (DE-588)4332615-8 s 1\p DE-604 https://doi.org/10.1007/978-94-017-0841-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Filippov, V. V. Basic Topological Structures of Ordinary Differential Equations Mathematics Functional analysis Differential Equations Topology Ordinary Differential Equations Functional Analysis Mathematik Topologische Struktur (DE-588)4332615-8 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4332615-8 (DE-588)4020929-5 |
| title | Basic Topological Structures of Ordinary Differential Equations |
| title_auth | Basic Topological Structures of Ordinary Differential Equations |
| title_exact_search | Basic Topological Structures of Ordinary Differential Equations |
| title_full | Basic Topological Structures of Ordinary Differential Equations by V. V. Filippov |
| title_fullStr | Basic Topological Structures of Ordinary Differential Equations by V. V. Filippov |
| title_full_unstemmed | Basic Topological Structures of Ordinary Differential Equations by V. V. Filippov |
| title_short | Basic Topological Structures of Ordinary Differential Equations |
| title_sort | basic topological structures of ordinary differential equations |
| topic | Mathematics Functional analysis Differential Equations Topology Ordinary Differential Equations Functional Analysis Mathematik Topologische Struktur (DE-588)4332615-8 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Mathematics Functional analysis Differential Equations Topology Ordinary Differential Equations Functional Analysis Mathematik Topologische Struktur Gewöhnliche Differentialgleichung |
| url | https://doi.org/10.1007/978-94-017-0841-8 |
| work_keys_str_mv | AT filippovvv basictopologicalstructuresofordinarydifferentialequations |