Nonlinear boundary value problems for differential inclusions

Bader, R; Papageorgiou, NS

dc.contributor.author	Bader, R	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:18:06Z
dc.date.available	2014-03-01T01:18:06Z
dc.date.issued	2002	en
dc.identifier.issn	0025-584X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14800
dc.subject	Bernstein-Nagumo-Wintner growth condition	en
dc.subject	Differential inclusions	en
dc.subject	Fixed point	en
dc.subject	Lower semicontinuous multifunction	en
dc.subject	Lower solution	en
dc.subject	Measurable multifunction	en
dc.subject	Penalty map	en
dc.subject	Sobolev space	en
dc.subject	Truncation map	en
dc.subject	Upper semicontinuous multifunction	en
dc.subject	Upper solution	en
dc.subject.classification	Mathematics	en
dc.subject.other	EXTREMAL SOLUTIONS	en
dc.title	Nonlinear boundary value problems for differential inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/1522-2616(200210)244:1<5::AID-MANA5>3.0.CO;2-G	en
heal.identifier.secondary	http://dx.doi.org/10.1002/1522-2616(200210)244:1<5::AID-MANA5>3.0.CO;2-G	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper we study nonlinear second order scalar differential inclusions with nonlinear multivalued boundary conditions. Assuming the existence of an ordered pair of upper and lower solutions, we establish the existence of a solution in the order interval formed by them. Our approach uses the tools of multivalued analysis and of the theory of nonlinear operators of monotone type. The problem studied here has as special cases the Dirichlet, Neumann and Sturm-Liouville problems. Also we show that the same approach can be used in the study of the periodic problem.	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	Mathematische Nachrichten	en
dc.identifier.doi	10.1002/1522-2616(200210)244:1<5::AID-MANA5>3.0.CO;2-G	en
dc.identifier.isi	ISI:000178864100001	en
dc.identifier.volume	244	en
dc.identifier.spage	5	en
dc.identifier.epage	25	en