Topological properties of the solution set of a class of nonlinear evolutions inclusions

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:13:29Z
dc.date.available	2014-03-01T01:13:29Z
dc.date.issued	1997	en
dc.identifier.issn	0011-4642	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12501
dc.subject	Compact embedding	en
dc.subject	Contractible	en
dc.subject	Evolution inclusion	en
dc.subject	Evolution triple	en
dc.subject	Homotopic	en
dc.subject	Optimal control	en
dc.subject	Rδ-set	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL EQUATIONS	en
dc.title	Topological properties of the solution set of a class of nonlinear evolutions inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1022451115373	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1022451115373	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	In the paper we study the topological structure of the solution set of a class of nonlinear evolution inclusions. First we show that it is nonempty and compact in certain function spaces and that it depends in an upper semicontinuous way on the initial condition. Then by strengthening the hypothesis on the orientor field F(t, x), we are able to show that the solution set is in fact an R-delta-set. Finally some applications to infinite dimensional control systems are also presented.	en
heal.publisher	CZECHOSLOVAK MATHEMATICAL JOURNAL	en
heal.journalName	Czechoslovak Mathematical Journal	en
dc.identifier.doi	10.1023/A:1022451115373	en
dc.identifier.isi	ISI:000071038400003	en
dc.identifier.volume	47	en
dc.identifier.issue	3	en
dc.identifier.spage	409	en
dc.identifier.epage	424	en