Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem

Palamides, AP; Stavrakakis, NM

dc.contributor.author	Palamides, AP	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:33:28Z
dc.date.available	2014-03-01T01:33:28Z
dc.date.issued	2010	en
dc.identifier.issn	1072-6691	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20433
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-78649704314&partnerID=40&md5=4398b18969da5b9f3d5a4c80248fac99	en
dc.subject	Existence	en
dc.subject	Fixed points in cones	en
dc.subject	Green's functions	en
dc.subject	Positive solutions	en
dc.subject	Third order differential equation	en
dc.subject	Three point singular boundary value problem	en
dc.subject	Uniqueness	en
dc.title	Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem	en
heal.type	journalArticle	en
heal.identifier.secondary	155	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this work we study a third-order three-point boundary-value problem (BVP). We derive sufficient conditions that guarantee the positivity of the solution of the corresponding linear BVP Then, based on the classical Guo-Krasnosel'skii's fixed point theorem, we obtain positive solutions to the nonlinear BVP. Additional hypotheses guarantee the uniqueness of the solution. © 2010 Texas State University - San Marcos.	en
heal.publisher	TEXAS STATE UNIV	en
heal.journalName	Electronic Journal of Differential Equations	en
dc.identifier.isi	ISI:000208206000003	en
dc.identifier.volume	2010	en