CONTINUOUS DEPENDENCE RESULTS FOR A CLASS OF EVOLUTION INCLUSIONS

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:08:45Z
dc.date.available	2014-03-01T01:08:45Z
dc.date.issued	1992	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10660
dc.subject	Continuous Dependence	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	EQUATIONS	en
dc.subject.other	STABILITY	en
dc.subject.other	CONVERGENCE	en
dc.title	CONTINUOUS DEPENDENCE RESULTS FOR A CLASS OF EVOLUTION INCLUSIONS	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S001309150000540X	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S001309150000540X	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	In this paper we examine the dependence of the solutions of an evolution inclusion on a parameter-lambda. We prove two dependence theorems. In the first the parameter appears only in the orientor field and we show that the solution set depends continuously on it for both the Vietoris and Hausdorff topologies. In the second the parameter appears also in the monotone operator. Using the notion of G-convergence of operators we prove that the solution set is upper semicontinuous with respect to the parameter. Both results make use of a general existence theorem which we also prove in this paper. Finally, we present two examples. One from control theory and the other from partial differential inclusions.	en
heal.publisher	OXFORD UNIV PRESS UNITED KINGDOM	en
heal.journalName	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY	en
dc.identifier.doi	10.1017/S001309150000540X	en
dc.identifier.isi	ISI:A1992HF41200012	en
dc.identifier.volume	35	en
dc.identifier.spage	139	en
dc.identifier.epage	158	en