Existence of solutions for quasilinear second order differential inclusions with nonlinear boundary conditions

Halidias, N; Papageorgiou, NS

dc.contributor.author	Halidias, N	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:15:36Z
dc.date.available	2014-03-01T01:15:36Z
dc.date.issued	2000	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13619
dc.subject	multifunction	en
dc.subject	caratheodory function	en
dc.subject	approximate selector	en
dc.subject	maximal monotone operator	en
dc.subject	surjective operator	en
dc.subject	sobolev space	en
dc.subject	compact embedding	en
dc.subject	Leray-Schauder fixed point theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	THEOREMS	en
dc.title	Existence of solutions for quasilinear second order differential inclusions with nonlinear boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0427(99)00243-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0427(99)00243-5	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper we consider a quasilinear second-order differential inclusion with a convex-valued multivalued term and nonlinear, multivalued boundary conditions. Using the Leray-Schauder fixed-point theorem and techniques from multivalued analysis and from nonlinear analysis, we prove the existence of a solution. Our formulation of the problem is general and includes as special cases the Dirichlet, the Neumann, the periodic problems, as well as certain Sturm-Liouville-type problems. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 34B15.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS	en
dc.identifier.doi	10.1016/S0377-0427(99)00243-5	en
dc.identifier.isi	ISI:000084633300006	en
dc.identifier.volume	113	en
dc.identifier.issue	1-2	en
dc.identifier.spage	51	en
dc.identifier.epage	64	en