Differential variational inequalities in RN

Avgerinos, EP; Papageorgiou, NS

dc.contributor.author	Avgerinos, EP	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:45:55Z
dc.date.available	2014-03-01T01:45:55Z
dc.date.issued	1997	en
dc.identifier.issn	00195588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24796
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0031327822&partnerID=40&md5=2b931cd51e918c70c776f9db516c95ec	en
dc.subject	Continuous dependence	en
dc.subject	Continuous selector	en
dc.subject	Differential variational inequality	en
dc.subject	Extremal trajectory	en
dc.subject	Hausdorff continuity	en
dc.subject	Normal cone	en
dc.subject	Periodic solution	en
dc.subject	Tangent cone	en
dc.subject	Vietoris continuity	en
dc.title	Differential variational inequalities in RN	en
heal.type	journalArticle	en
heal.publicationDate	1997	en
heal.abstract	In this paper, we study ""Differential Variational Inequalities"" defined in RN. First we establish the existence of external trajectories. Then we show that those extremal trajectories are dense in the solution set of the original system. Afterwards we prove that the solution set is path connected. Also we view the solution set as multifunction of the initial datum and for this multifunction we show that we can construct a continuous selector. Using this selector we prove the existence of periodic trajectories. Finally we show that the solution set depends continuously (in both the Vietoris and Hausdorff hyperspace topologies) on the data of the problem.	en
heal.journalName	Indian Journal of Pure and Applied Mathematics	en
dc.identifier.volume	28	en
dc.identifier.issue	9	en
dc.identifier.spage	1267	en
dc.identifier.epage	1287	en