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 Crd1[0,T] positive solutions as well as Crd1[0,T] positi...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 Crd1[0,T] positive solutions as well as Crd1[0,T] positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem. |
format | Article |
id | doaj-art-a6110fec05d54303830f4a6a6eca78d3 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 Crd1[0,T] positive solutions as well as Crd1[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 |