Differential Inclusions in a Banach Space:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Mathematics and Its Applications
524 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and the author's recent results have been added. The contents of the present book are divided into five Chapters and an Appendix. The first Chapter of the J>ook has been left without changes and deals with multi-valued differential equations generated by a differential inclusion. The second Chapter has been significantly revised and extended. Here the au thor's recent results concerning extreme continuous selectors of multi-functions with decomposable values, multi-valued selectors ofmulti-functions generated by a differential inclusion, the existence of solutions of a differential inclusion, whose right hand side has different properties of semicontinuity at different points, have been included. Some of these results made it possible to simplify schemes for proofs concerning the existence of solutions of differential inclu sions with semicontinuous right hand side a.nd to obtain new results. In this Chapter the existence of solutions of different types are considered |
| Beschreibung: | 1 Online-Ressource (XV, 302 p) |
| ISBN: | 9789401594905 9789048155804 |
| DOI: | 10.1007/978-94-015-9490-5 |
Internformat
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| 500 | |a Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and the author's recent results have been added. The contents of the present book are divided into five Chapters and an Appendix. The first Chapter of the J>ook has been left without changes and deals with multi-valued differential equations generated by a differential inclusion. The second Chapter has been significantly revised and extended. Here the au thor's recent results concerning extreme continuous selectors of multi-functions with decomposable values, multi-valued selectors ofmulti-functions generated by a differential inclusion, the existence of solutions of a differential inclusion, whose right hand side has different properties of semicontinuity at different points, have been included. Some of these results made it possible to simplify schemes for proofs concerning the existence of solutions of differential inclu sions with semicontinuous right hand side a.nd to obtain new results. In this Chapter the existence of solutions of different types are considered | ||
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Datensatz im Suchindex
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| spelling | Tolstonogov, Alexander Verfasser aut Differential Inclusions in a Banach Space by Alexander Tolstonogov Dordrecht Springer Netherlands 2000 1 Online-Ressource (XV, 302 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 524 Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and the author's recent results have been added. The contents of the present book are divided into five Chapters and an Appendix. The first Chapter of the J>ook has been left without changes and deals with multi-valued differential equations generated by a differential inclusion. The second Chapter has been significantly revised and extended. Here the au thor's recent results concerning extreme continuous selectors of multi-functions with decomposable values, multi-valued selectors ofmulti-functions generated by a differential inclusion, the existence of solutions of a differential inclusion, whose right hand side has different properties of semicontinuity at different points, have been included. Some of these results made it possible to simplify schemes for proofs concerning the existence of solutions of differential inclu sions with semicontinuous right hand side a.nd to obtain new results. In this Chapter the existence of solutions of different types are considered Mathematics Functional analysis Differential Equations Systems theory Mathematical optimization Topology Ordinary Differential Equations Functional Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Banach-Raum (DE-588)4004402-6 gnd rswk-swf Differentialinklusion (DE-588)4149777-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Differentialinklusion (DE-588)4149777-6 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9490-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tolstonogov, Alexander Differential Inclusions in a Banach Space Mathematics Functional analysis Differential Equations Systems theory Mathematical optimization Topology Ordinary Differential Equations Functional Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Banach-Raum (DE-588)4004402-6 gnd Differentialinklusion (DE-588)4149777-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4149777-6 |
| title | Differential Inclusions in a Banach Space |
| title_auth | Differential Inclusions in a Banach Space |
| title_exact_search | Differential Inclusions in a Banach Space |
| title_full | Differential Inclusions in a Banach Space by Alexander Tolstonogov |
| title_fullStr | Differential Inclusions in a Banach Space by Alexander Tolstonogov |
| title_full_unstemmed | Differential Inclusions in a Banach Space by Alexander Tolstonogov |
| title_short | Differential Inclusions in a Banach Space |
| title_sort | differential inclusions in a banach space |
| topic | Mathematics Functional analysis Differential Equations Systems theory Mathematical optimization Topology Ordinary Differential Equations Functional Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Banach-Raum (DE-588)4004402-6 gnd Differentialinklusion (DE-588)4149777-6 gnd |
| topic_facet | Mathematics Functional analysis Differential Equations Systems theory Mathematical optimization Topology Ordinary Differential Equations Functional Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Banach-Raum Differentialinklusion |
| url | https://doi.org/10.1007/978-94-015-9490-5 |
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