Nonconvex and nonmonotone perturbations of evolution inclusions of subdifferential type

Papageorgiou, N

dc.contributor.author	Papageorgiou, N	en
dc.date.accessioned	2014-03-01T01:39:51Z
dc.date.available	2014-03-01T01:39:51Z
dc.date.issued	1990	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22993
dc.subject	Convex Function	en
dc.subject	Hilbert Space	en
dc.subject	Satisfiability	en
dc.subject	Strong Solution	en
dc.title	Nonconvex and nonmonotone perturbations of evolution inclusions of subdifferential type	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01946854	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01946854	en
heal.publicationDate	1990	en
heal.abstract	In this paper we prove the existence of strong solutions for evolution inclusions of the form −<img src="/fulltext-image.asp?format=htmlnonpaginated&src=XV79473684817718_html\10998_2005_Article_BF01946854_TeX2GIFIE1.gif" border="0" alt="$$\dot x$$" />(t) ∈ ∂ϕ(x(t))+F(t,x)) defined in a separable Hilbert space, where ∂ϕ(·) denotes the subdifferential of a proper, closed, convex function ϕ(·) andF(t,x) is a multivalued nonconvex, nonmonotone perturbation satisfying a general growth condition.	en
heal.journalName	Periodica Mathematica Hungarica	en
dc.identifier.doi	10.1007/BF01946854	en