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

Abstract

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 $C_{\mathrm{rd}}^{\mathrm{1}}[\mathrm{0},T]$ positive solutions as well as $C_{\mathrm{rd}}^{\mathrm{1}}[\mathrm{0},T]$ positive solutions is obtained by the technique of lower and upper solutions and the maximal principle theorem.