Existence theorems for periodic differential inclusions in IRN

Filippakis, M; Gasinski, L; Papageorgiou, NS

dc.contributor.author	Filippakis, M	en
dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:20:27Z
dc.date.available	2014-03-01T01:20:27Z
dc.date.issued	2004	en
dc.identifier.issn	01689673	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15926
dc.subject	Differential inclusion	en
dc.subject	Extremal periodic solution	en
dc.subject	Hartman condition	en
dc.subject	Multifunction	en
dc.subject	Property u	en
dc.subject	Schauder fixed point theorem	en
dc.subject	Upper and lower semicontinuity	en
dc.subject	Weak norm	en
dc.title	Existence theorems for periodic differential inclusions in IRN	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10255-004-0160-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10255-004-0160-4	en
heal.publicationDate	2004	en
heal.abstract	We study the periodic problem for differential inclusions in ℝN. First we look for extremal periodic solutions. Using techniques from multivalued analysis and a fixed point argument we establish an existence theorem under some general hypotheses. We also consider the ""nonconvex periodic problem"" under lower semicontinuity hypotheses, and the ""convex periodic problem"" under general upper semicontinuity hypotheses on the multivalued vector field. For both problems, we prove existence theorems under very general hypotheses. Our approach extends existing results in the literature and appear to be the most general results on the nonconvex periodic problem. © Springer-Verlag 2004.	en
heal.journalName	Acta Mathematicae Applicatae Sinica	en
dc.identifier.doi	10.1007/s10255-004-0160-4	en
dc.identifier.volume	20	en
dc.identifier.issue	2	en
dc.identifier.spage	179	en
dc.identifier.epage	190	en