New Results for Multipoint Singular Boundary Value Problems on a Measure Chain

We study the existence and uniqueness of positive solutions for a class of singular m-point boundary value problems of second order differential equations on a measure chain. A sharper sufficient condition for the existence and uniqueness of Crd⁡1[0,T] positive solutions as well as Crd⁡1[0,T] positi...

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Main Authors: Yan Sun, Yongping Sun, Patricia J. Y. Wong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/465653
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author Yan Sun
Yongping Sun
Patricia J. Y. Wong
author_facet Yan Sun
Yongping Sun
Patricia J. Y. Wong
author_sort Yan Sun
collection DOAJ
description We study the existence and uniqueness of positive solutions for a class of singular m-point boundary value problems of second order differential equations on a measure chain. A sharper sufficient condition for the existence and uniqueness of Crd⁡1[0,T] positive solutions as well as Crd⁡1[0,T] positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-a6110fec05d54303830f4a6a6eca78d32025-02-03T01:02:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/465653465653New Results for Multipoint Singular Boundary Value Problems on a Measure ChainYan Sun0Yongping Sun1Patricia J. Y. Wong2Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaCollege of Electron and Information, Zhejiang University of Media and Communications, Hangzhou, Zhejiang 310018, ChinaSchool of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, SingaporeWe study the existence and uniqueness of positive solutions for a class of singular m-point boundary value problems of second order differential equations on a measure chain. A sharper sufficient condition for the existence and uniqueness of Crd⁡1[0,T] positive solutions as well as Crd⁡1[0,T] positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem.http://dx.doi.org/10.1155/2014/465653
spellingShingle Yan Sun
Yongping Sun
Patricia J. Y. Wong
New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
Abstract and Applied Analysis
title New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
title_full New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
title_fullStr New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
title_full_unstemmed New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
title_short New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
title_sort new results for multipoint singular boundary value problems on a measure chain
url http://dx.doi.org/10.1155/2014/465653
work_keys_str_mv AT yansun newresultsformultipointsingularboundaryvalueproblemsonameasurechain
AT yongpingsun newresultsformultipointsingularboundaryvalueproblemsonameasurechain
AT patriciajywong newresultsformultipointsingularboundaryvalueproblemsonameasurechain