Existence and uniqueness of positive solutions for a third-order three-point problem on time scales

In this paper, a class of third-order three-point boundary value problem on time scales is considered. Using monotone iterative technique and cone expansion and compression fixed point theorem of norm type, we do not only obtain the existence and uniqueness of positive solutions of the problem, but...

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Main Author:	Huiye Xu
Format:	Article
Language:	English
Published:	University of Szeged 2010-09-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=516

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spelling	doaj-5ff67e955cf34c27a257e363e59ee8122021-07-14T07:21:22ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752010-09-0120105611210.14232/ejqtde.2010.1.56516Existence and uniqueness of positive solutions for a third-order three-point problem on time scalesHuiye Xu0North University of China, Taiyuan, Shanxi, P. R. ChinaIn this paper, a class of third-order three-point boundary value problem on time scales is considered. Using monotone iterative technique and cone expansion and compression fixed point theorem of norm type, we do not only obtain the existence and uniqueness of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=516
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huiye Xu
spellingShingle	Huiye Xu Existence and uniqueness of positive solutions for a third-order three-point problem on time scales Electronic Journal of Qualitative Theory of Differential Equations
author_facet	Huiye Xu
author_sort	Huiye Xu
title	Existence and uniqueness of positive solutions for a third-order three-point problem on time scales
title_short	Existence and uniqueness of positive solutions for a third-order three-point problem on time scales
title_full	Existence and uniqueness of positive solutions for a third-order three-point problem on time scales
title_fullStr	Existence and uniqueness of positive solutions for a third-order three-point problem on time scales
title_full_unstemmed	Existence and uniqueness of positive solutions for a third-order three-point problem on time scales
title_sort	existence and uniqueness of positive solutions for a third-order three-point problem on time scales
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2010-09-01
description	In this paper, a class of third-order three-point boundary value problem on time scales is considered. Using monotone iterative technique and cone expansion and compression fixed point theorem of norm type, we do not only obtain the existence and uniqueness of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=516
work_keys_str_mv	AT huiyexu existenceanduniquenessofpositivesolutionsforathirdorderthreepointproblemontimescales
_version_	1721303827934609408

Existence and uniqueness of positive solutions for a third-order three-point problem on time scales

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