ON THE SOLUTION SET OF NONLINEAR EVOLUTION INCLUSIONS DEPENDING ON A PARAMETER

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:42:54Z
dc.date.available	2014-03-01T01:42:54Z
dc.date.issued	1994	en
dc.identifier.issn	0033-3883	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23979
dc.subject	EVOLUTION INCLUSIONS	en
dc.subject	G-CONVERGENCE	en
dc.subject	VIETORIS CONTINUITY	en
dc.subject	HAUSDORFF CONTINUITY	en
dc.subject	SENSITIVITY ANALYSIS	en
dc.subject	PARABOLIC OPTIMAL CONTROL PROBLEMS	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.subject.other	G-CONVERGENCE	en
dc.subject.other	APPROXIMATIONS	en
dc.subject.other	DEPENDENCE	en
dc.subject.other	OPERATORS	en
dc.subject.other	STABILITY	en
dc.title	ON THE SOLUTION SET OF NONLINEAR EVOLUTION INCLUSIONS DEPENDING ON A PARAMETER	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	In this paper examine nonlinear evolution inclusions depending on a parameter. The parameter appears in all the data of the problem, including the nonlinear operator. Using the general concept of G-convergence of operators, we prove three continuous dependence results for both the Vietoris and Hausdorff hyperspace topologies. Then we use these results to study the variational stability of a class of nonlinear, parabolic optimal control problems.	en
heal.publisher	KOSSUTH LAJOS TUDOMANYEGYETEM	en
heal.journalName	PUBLICATIONES MATHEMATICAE-DEBRECEN	en
dc.identifier.isi	ISI:A1994NH72900003	en
dc.identifier.volume	44	en
dc.identifier.issue	1-2	en
dc.identifier.spage	31	en
dc.identifier.epage	49	en