Evolution inclusions involving a difference term of subdifferentials and applications

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:12:52Z
dc.date.available	2014-03-01T01:12:52Z
dc.date.issued	1997	en
dc.identifier.issn	0019-5588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12272
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0031476849&partnerID=40&md5=aa8173374f2b1fd8c27519540b8081bc	en
dc.subject.classification	Mathematics	en
dc.subject.other	EQUATIONS	en
dc.title	Evolution inclusions involving a difference term of subdifferentials and applications	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In this paper we study nonlinear evolution inclusions involving a difference term of subdifferentials and a multivalued state dependent, nonautonomous perturbation term. We prove three existence theorems under different hypotheses on the perturbation term. The last existence result concerns extremal trajectories. Then we show that the extremal trajectories are dense to the trajectories of the original system (strong relaxation theorem) and we investigate how the solution set depends on the data of the system including the two subdifferentials (sensitivity analysis). We also study some optimal control problems and work in detail four examples illustrating the applicability of our work.	en
heal.publisher	INDIAN NAT SCI ACAD	en
heal.journalName	Indian Journal of Pure and Applied Mathematics	en
dc.identifier.isi	ISI:A1997XM94800001	en
dc.identifier.volume	28	en
dc.identifier.issue	5	en
dc.identifier.spage	575	en
dc.identifier.epage	610	en