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Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces (De Gruyter Series in Nonlinear Analysis and Applications, 7) - Hardcover

 
9783110169898: Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces (De Gruyter Series in Nonlinear Analysis and Applications, 7)

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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.

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About the Author

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.

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9783111882802: Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces (de Gruyter Series In Nonlinear Analysis And Applications)

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Kamenskii, Mikhail I./Obukhovskii, Valeri V./Zecca, Pietro
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ISBN 10: 3110169894 ISBN 13: 9783110169898
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Reprint 2011. 17 x 24 cm. XI, 231 S. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. (De Gruyter Series in Nonlinear Analysis and Applications, 7). Sprache: Englisch. Seller Inventory # 2839VB

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 244 pp. Englisch. Seller Inventory # 9783110169898

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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sci. Seller Inventory # 4453348

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Buch. Condition: Neu. Neuware -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.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 244 pp. Englisch. Seller Inventory # 9783110169898

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