Periodic problems for strongly nonlinear second-order differential inclusions

Kyritsi, S; Matzakos, N; Papageorgiou, NS

dc.contributor.author	Kyritsi, S	en
dc.contributor.author	Matzakos, N	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:18:12Z
dc.date.available	2014-03-01T01:18:12Z
dc.date.issued	2002	en
dc.identifier.issn	0022-0396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14858
dc.subject	Continuous selection	en
dc.subject	Differential inclusion	en
dc.subject	Fixed point problem	en
dc.subject	Maximal monotone map	en
dc.subject	Measurable selection	en
dc.subject	Multivalued Leray-Schauder alternative theorem	en
dc.subject	Nagumo-Hartman condition	en
dc.subject	p-Laplacian	en
dc.subject	Periodic problem	en
dc.subject	Resolvent operator	en
dc.subject	Usc and Isc multifunction	en
dc.subject	Yosida approximation	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	OPERATORS	en
dc.title	Periodic problems for strongly nonlinear second-order differential inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jdeq.2001.4110	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jdeq.2001.4110	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper, we study periodic problems for second-order differential inclusions in ℝRN with a maximal monotone term. The nonlinear differential operator is not necessarily homogeneous, does not obey any growth condition and incorporates as a special case the one-dimensional p-Laplacian. Using techniques from multivalued analysis and the theory of operators of monotone type, we prove the existence of solutions for both the ""convex"" and ""nonconvex"" problems, when the maximal monotone term A is defined everywhere and when it is not defined everywhere (case of variational inequalities). © 2002 Elsevier Science (USA).	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Differential Equations	en
dc.identifier.doi	10.1006/jdeq.2001.4110	en
dc.identifier.isi	ISI:000177699200001	en
dc.identifier.volume	183	en
dc.identifier.issue	2	en
dc.identifier.spage	279	en
dc.identifier.epage	302	en