Periodic solutions for second order differential inclusions with nonconvex and unbounded multifunction

Avgerinos, EP; Papageorgiou, NS; Yannakakis, N

dc.contributor.author	Avgerinos, EP	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:15:03Z
dc.date.available	2014-03-01T01:15:03Z
dc.date.issued	1999	en
dc.identifier.issn	0236-5294	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13304
dc.subject	Periodic Solution	en
dc.subject	Second Order	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	EXISTENCE THEOREMS	en
dc.title	Periodic solutions for second order differential inclusions with nonconvex and unbounded multifunction	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1006644519896	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1006644519896	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper we consider a second order multivalued periodic boundary value problem with a nonconvex and unbounded orientor field (set-valued vector field). Using a directionally continuous selector, through its Filippov regularization we produce a convex-valued, bounded multifunction and with this as orientor field we introduce a new multivalued periodic problem. Using the Leray-Schauder principle, we solve the convex problem and then we show that its solutions also solve the original nonconvex problem.	en
heal.publisher	AKADEMIAI KIADO	en
heal.journalName	Acta Mathematica Hungarica	en
dc.identifier.doi	10.1023/A:1006644519896	en
dc.identifier.isi	ISI:000081228600003	en
dc.identifier.volume	83	en
dc.identifier.issue	4	en
dc.identifier.spage	303	en
dc.identifier.epage	314	en