Differential variational inequalities in RN

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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 http://hdl.handle.net/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

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