Extremal solutions and strong relaxation for nonlinear periodic evolution inclusions

Papageorgiou, NS; Yannakakis, N

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:15:37Z
dc.date.available	2014-03-01T01:15:37Z
dc.date.issued	2000	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13624
dc.subject	periodic solution	en
dc.subject	evolution triple	en
dc.subject	compact embedding	en
dc.subject	monotone operator	en
dc.subject	pseudomonotone operator	en
dc.subject	L-generalized pseudomonotone operator	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	EQUATIONS	en
dc.subject.other	SPACES	en
dc.title	Extremal solutions and strong relaxation for nonlinear periodic evolution inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091500021209	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091500021209	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	We study the existence of extremal periodic solutions for nonlinear evolution inclusions defined on an evolution triple of spaces and with the nonlinear operator A being time-dependent and pseudomonotone. Using techniques of multivalued analysis and a surjectivity result for L-generalized pseudomonotone operators, we prove the existence of extremal periodic solutions. Subsequently, by assuming that A(t,.) is monotone, we prove a strong relaxation theorem for the periodic problem. Two examples of nonlinear distributed parameter systems illustrate the applicability of our results.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY	en
dc.identifier.doi	10.1017/S0013091500021209	en
dc.identifier.isi	ISI:000165922100009	en
dc.identifier.volume	43	en
dc.identifier.spage	569	en
dc.identifier.epage	586	en