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Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces by Valeri Obukhovskii, Mikhail Kamenskii, Pietro Zecca (Hardback, 2001)
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Product Information
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 t suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of ncompactness 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.Product Identifiers
PublisherDe Gruyter, Walter De Gruyter & Co
ISBN-103110169894
ISBN-139783110169898
eBay Product ID (ePID)94940358
Product Key Features
Number of Pages242 Pages
Publication NameCondensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces
LanguageEnglish
Publication Year2001
SubjectMathematics
TypeTextbook
AuthorMikhail I. Kamenskii, Valeri V. Obukhovskii, Pietro Zecca
Subject AreaMathematics
SeriesDe Gruyter Series in Nonlinear Analysis and Applications Ser.
FormatHardback
Dimensions
Item Weight19.6 Oz
Item Length9.4 in
Item Width6.7 in
Height240mm
Width170mm
Weight555g
Additional Product Features
Date of Publication15/05/2001
Intended AudienceScholarly & Professional
Place of PublicationBerlin
Spine16mm
Series TitleDe Gruyter Series in Nonlinear Analysis & Applications
Interest AgeCollege Graduate Student
Country of PublicationGermany
GenreMathematics
Author BiographyProf. Pietro Zecca, Dipartimento di Energetica, Universita degli studi di Firenze, Italy.Prof. Mikhail Kamenskii, University of Voronezh, Russia and Universite de Rouen, France.Valeri Obukhovskii, Universita di Firenze, Italy.
Series Part/Volume NumberV. 7
Content NoteBlack & White Illustrations
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