Condensing multivalued maps and semilinear differential inclusions in Banach spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ;New York
W. de Gruyter
2001
|
| Schriftenreihe: | De Gruyter series in nonlinear analysis and applications
7 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Includes bibliographical references (p. [213]-228) and index Biographical note: Prof. Pietro Zecca, Dipartimento di Energetica, Università degli studi di Firenze, Italy.Prof. Mikhail Kamenskiì, University of Voronezh, Russia and Université de Rouen, France.Valeri Obukhovskiì, Università di Firenze, Italy Main description: The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented |
| Beschreibung: | 1 Online-Ressource (xi, 231 p) |
| ISBN: | 3110169894 9783110169898 9783110870893 |
Internformat
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| 100 | 1 | |a Kamenskii, Mikhail |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Condensing multivalued maps and semilinear differential inclusions in Banach spaces |c Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca |
| 264 | 1 | |a Berlin ;New York |b W. de Gruyter |c 2001 | |
| 300 | |a 1 Online-Ressource (xi, 231 p) | ||
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| 490 | 0 | |a De Gruyter series in nonlinear analysis and applications |v 7 | |
| 500 | |a Includes bibliographical references (p. [213]-228) and index | ||
| 500 | |a Biographical note: Prof. Pietro Zecca, Dipartimento di Energetica, Università degli studi di Firenze, Italy.Prof. Mikhail Kamenskiì, University of Voronezh, Russia and Université de Rouen, France.Valeri Obukhovskiì, Università di Firenze, Italy | ||
| 500 | |a Main description: The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Differential inclusions | |
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| 653 | |a Differential inclusions | ||
| 653 | |a Set-valued maps | ||
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| 689 | 0 | 2 | |a Differentialinklusion |0 (DE-588)4149777-6 |D s |
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Datensatz im Suchindex
| _version_ | 1804152974997454848 |
|---|---|
| any_adam_object | |
| author | Kamenskii, Mikhail |
| author_facet | Kamenskii, Mikhail |
| author_role | aut |
| author_sort | Kamenskii, Mikhail |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV042352190 |
| collection | ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA |
| ctrlnum | (OCoLC)815507276 (DE-599)BVBBV042352190 |
| dewey-full | 515.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2 |
| dewey-search | 515.2 |
| dewey-sort | 3515.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV042352190 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:15Z |
| institution | BVB |
| isbn | 3110169894 9783110169898 9783110870893 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027788671 |
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| publishDate | 2001 |
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| publisher | W. de Gruyter |
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| series2 | De Gruyter series in nonlinear analysis and applications |
| spelling | Kamenskii, Mikhail Verfasser aut Condensing multivalued maps and semilinear differential inclusions in Banach spaces Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca Berlin ;New York W. de Gruyter 2001 1 Online-Ressource (xi, 231 p) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in nonlinear analysis and applications 7 Includes bibliographical references (p. [213]-228) and index Biographical note: Prof. Pietro Zecca, Dipartimento di Energetica, Università degli studi di Firenze, Italy.Prof. Mikhail Kamenskiì, University of Voronezh, Russia and Université de Rouen, France.Valeri Obukhovskiì, Università di Firenze, Italy Main description: The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented Banach spaces Differential inclusions Set-valued maps Banach-Raum (DE-588)4004402-6 gnd rswk-swf Differentialinklusion (DE-588)4149777-6 gnd rswk-swf Mengenwertige Abbildung (DE-588)4270772-9 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Mengenwertige Abbildung (DE-588)4270772-9 s Differentialinklusion (DE-588)4149777-6 s 1\p DE-604 Obukhovskii, Valeri Sonstige oth Zecca, Pietro Sonstige oth http://www.degruyter.com/doi/book/10.1515/9783110870893 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kamenskii, Mikhail Condensing multivalued maps and semilinear differential inclusions in Banach spaces Banach spaces Differential inclusions Set-valued maps Banach-Raum (DE-588)4004402-6 gnd Differentialinklusion (DE-588)4149777-6 gnd Mengenwertige Abbildung (DE-588)4270772-9 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4149777-6 (DE-588)4270772-9 |
| title | Condensing multivalued maps and semilinear differential inclusions in Banach spaces |
| title_auth | Condensing multivalued maps and semilinear differential inclusions in Banach spaces |
| title_exact_search | Condensing multivalued maps and semilinear differential inclusions in Banach spaces |
| title_full | Condensing multivalued maps and semilinear differential inclusions in Banach spaces Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca |
| title_fullStr | Condensing multivalued maps and semilinear differential inclusions in Banach spaces Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca |
| title_full_unstemmed | Condensing multivalued maps and semilinear differential inclusions in Banach spaces Mikhail Kamenskii, Valeri Obukhovskii, Pietro Zecca |
| title_short | Condensing multivalued maps and semilinear differential inclusions in Banach spaces |
| title_sort | condensing multivalued maps and semilinear differential inclusions in banach spaces |
| topic | Banach spaces Differential inclusions Set-valued maps Banach-Raum (DE-588)4004402-6 gnd Differentialinklusion (DE-588)4149777-6 gnd Mengenwertige Abbildung (DE-588)4270772-9 gnd |
| topic_facet | Banach spaces Differential inclusions Set-valued maps Banach-Raum Differentialinklusion Mengenwertige Abbildung |
| url | http://www.degruyter.com/doi/book/10.1515/9783110870893 |
| work_keys_str_mv | AT kamenskiimikhail condensingmultivaluedmapsandsemilineardifferentialinclusionsinbanachspaces AT obukhovskiivaleri condensingmultivaluedmapsandsemilineardifferentialinclusionsinbanachspaces AT zeccapietro condensingmultivaluedmapsandsemilineardifferentialinclusionsinbanachspaces |