On the ""bang-bang"" principle for nonlinear evolution inclusions

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:09:28Z
dc.date.available	2014-03-01T01:09:28Z
dc.date.issued	1993	en
dc.identifier.issn	00019054	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11014
dc.subject	AMS (1991) subject classification: 34G20, 39C20	en
dc.title	On the ""bang-bang"" principle for nonlinear evolution inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01855884	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01855884	en
heal.publicationDate	1993	en
heal.abstract	In this paper we establish the existence of extremal solutions for a class of nonlinear evolution inclusions defined on an evolution triple of Hilbert spaces. Then we show that these extremal solutions are in fact dense in the solutions of the original system. Subsequently we use this density result to derive nonlinear and infinite dimensional versions of the ""bang-bang"" principle for control systems. An example of a nonlinear parabolic distributed parameter system is also worked out in detail. © 1993 Birkhäuser Verlag.	en
heal.publisher	Birkhäuser-Verlag	en
heal.journalName	Aequationes Mathematicae	en
dc.identifier.doi	10.1007/BF01855884	en
dc.identifier.volume	45	en
dc.identifier.issue	2-3	en
dc.identifier.spage	267	en
dc.identifier.epage	280	en