Hammerstein integral inclusions in reflexive danach spaces

Cardinali, T; Papageorgiou, NS

dc.contributor.author	Cardinali, T	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:14:42Z
dc.date.available	2014-03-01T01:14:42Z
dc.date.issued	1999	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13188
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-22444455013&partnerID=40&md5=995e914a7e390b9e21a8bf90de824bac	en
dc.subject	Compact operator	en
dc.subject	Elliptic inclusions	en
dc.subject	Green's operator	en
dc.subject	H-continuous multifunction	en
dc.subject	Isc and use multifunction	en
dc.subject	Leray-schauder alternative theorem	en
dc.subject	Measurable multifunction	en
dc.subject	Multivalued nemitsky operator	en
dc.subject	Relaxation theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	EQUATIONS	en
dc.title	Hammerstein integral inclusions in reflexive danach spaces	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper we examine multivalued Hammerstein integral equations defined in a separable reflexive Banach space. We prove existence theorems for both the ""convex"" problem (the multifunction is convex-valued) and the ""nonconvex"" problem (the multifunction is not necessarily convex-valued). We also show that the solution set of the latter is dense in the solution set of the former (relaxation theorem). Finally we present some examples illustrating the applicability of our abstract results. © 1999 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.isi	ISI:000077479400013	en
dc.identifier.volume	127	en
dc.identifier.issue	1	en
dc.identifier.spage	95	en
dc.identifier.epage	103	en