Existence of solutions and periodic solutions for nonlinear evolution inclusions

Papageorgiou, NS; Papalini, F; Renzacci, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.contributor.author	Renzacci, F	en
dc.date.accessioned	2014-03-01T01:14:35Z
dc.date.available	2014-03-01T01:14:35Z
dc.date.issued	1999	en
dc.identifier.issn	0009725X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13166
dc.subject	coercive operator	en
dc.subject	densely defined operator	en
dc.subject	Evolution triple	en
dc.subject	generalized pseudomonotone operator	en
dc.subject	optimal solutions	en
dc.subject	periodic solutions	en
dc.title	Existence of solutions and periodic solutions for nonlinear evolution inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02857308	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02857308	en
heal.publicationDate	1999	en
heal.abstract	In this paper we consider nonlinear-dependent systems with multivalued perturbations in the framework of an evolution triple of spaces. First we prove a surjectivity result for generalized pseudomonotone operators and then we establish two existence theorems: the first for a periodic problem and the second for a Cauchy problem. As applications we work out in detail a periodic nonlinear parabolic partial differential equation and an optimal control problem for a system driven by a nonlinear parabolic equation. © 1999 Springer.	en
heal.journalName	Rendiconti del Circolo Matematico di Palermo	en
dc.identifier.doi	10.1007/BF02857308	en
dc.identifier.volume	48	en
dc.identifier.issue	2	en
dc.identifier.spage	341	en
dc.identifier.epage	364	en