Umfang:
Online-Ressource (xi, 231 p)
Ausgabe:
Reproduktion 2011
ISBN:
9783110870893
,
3110169894
,
9783110169898
Serie:
De Gruyter Series in Nonlinear Analysis and Applications 7
Inhalt:
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.
Inhalt:
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.
Anmerkung:
Includes bibliographical references (p. [213]-228) and index
,
In English
Weitere Ausg.:
ISBN 3110169894
Weitere Ausg.:
ISBN 9783110169898
Weitere Ausg.:
ISBN 9783110870893
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 9783110870893
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Kamenskii, Mikhail I. Condensing multivalued maps and semilinear differential inclusions in Banach spaces Berlin : de Gruyter, 2001 ISBN 3110169894
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Banach-Raum
;
Mengenwertige Abbildung
;
Differentialinklusion
DOI:
10.1515/9783110870893
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Obuchovskij, Valerij 1947-
Mehr zum Autor:
Zecca, Pietro 1949-
