Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales

Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales

In this paper, we investigate the existence of positive solutions for a class of singular $n$th-order three-point boundary value problem. The associated Green's function for the boundary value problem is given at first, and some useful properties of the Green's function are obtained. The m...

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Main Authors: Dapeng Xie, Yang Liu, Chuanzhi Bai
Format: Article
Language:English
Published: University of Szeged 2009-06-01
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=392
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spelling doaj-a397a223147a4f3ab3e88614425048fa2021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-06-0120093811410.14232/ejqtde.2009.1.38392Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scalesDapeng Xie0Yang Liu1Chuanzhi Bai2Hefei Normal University, Hefei, Anhui, P. R. ChinaHefei Normal University, Hefei, Anhui, P. R. ChinaHuaiyin Normal University, Huaian, Jiangsu, P. R. ChinaIn this paper, we investigate the existence of positive solutions for a class of singular $n$th-order three-point boundary value problem. The associated Green's function for the boundary value problem is given at first, and some useful properties of the Green's function are obtained. The main tool is fixed-point index theory. The results obtained in this paper essentially improve and generalize some well-known results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=392
collection DOAJ
language English
format Article
sources DOAJ
author Dapeng Xie
Yang Liu
Chuanzhi Bai
spellingShingle Dapeng Xie
Yang Liu
Chuanzhi Bai
Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
Electronic Journal of Qualitative Theory of Differential Equations
author_facet Dapeng Xie
Yang Liu
Chuanzhi Bai
author_sort Dapeng Xie
title Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
title_short Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
title_full Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
title_fullStr Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
title_full_unstemmed Green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
title_sort green's function and positive solutions of a singular nth-order three-point boundary value problem on time scales
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2009-06-01
description In this paper, we investigate the existence of positive solutions for a class of singular $n$th-order three-point boundary value problem. The associated Green's function for the boundary value problem is given at first, and some useful properties of the Green's function are obtained. The main tool is fixed-point index theory. The results obtained in this paper essentially improve and generalize some well-known results.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=392
work_keys_str_mv AT dapengxie greensfunctionandpositivesolutionsofasingularnthorderthreepointboundaryvalueproblemontimescales
AT yangliu greensfunctionandpositivesolutionsofasingularnthorderthreepointboundaryvalueproblemontimescales
AT chuanzhibai greensfunctionandpositivesolutionsofasingularnthorderthreepointboundaryvalueproblemontimescales
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