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 C_rd^1[0,T] positive solutions as well as C_rd^1[0,T] posi...

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Main Authors: Sun, Yan, Wong, Patricia Jia Yiing, Sun, Yongping
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2015
Online Access:https://hdl.handle.net/10356/99989
http://hdl.handle.net/10220/38679
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-999892020-03-07T14:00:32Z New Results for Multipoint Singular Boundary Value Problems on a Measure Chain Sun, Yan Wong, Patricia Jia Yiing Sun, Yongping School of Electrical and Electronic Engineering 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 C_rd^1[0,T] positive solutions as well as C_rd^1[0,T] positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem. Published version 2015-09-08T08:12:13Z 2019-12-06T20:14:33Z 2015-09-08T08:12:13Z 2019-12-06T20:14:33Z 2014 2014 Journal Article Sun, Y., Sun, Y., & Wong, P. J. Y. (2014). New Results for Multipoint Singular Boundary Value Problems on a Measure Chain. Abstract and Applied Analysis, 2014, 465653-. https://hdl.handle.net/10356/99989 http://hdl.handle.net/10220/38679 10.1155/2014/465653 en Abstract and Applied Analysis © 2014 Yan Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
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 C_rd^1[0,T] positive solutions as well as C_rd^1[0,T] positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Sun, Yan
Wong, Patricia Jia Yiing
Sun, Yongping
format Article
author Sun, Yan
Wong, Patricia Jia Yiing
Sun, Yongping
spellingShingle Sun, Yan
Wong, Patricia Jia Yiing
Sun, Yongping
New Results for Multipoint Singular Boundary Value Problems on a Measure Chain
author_sort Sun, Yan
title 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_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_sort new results for multipoint singular boundary value problems on a measure chain
publishDate 2015
url https://hdl.handle.net/10356/99989
http://hdl.handle.net/10220/38679
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