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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Bibliographic Details
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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Summary: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.