Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 156, pp. 1-8.

Title: Positive solutions for singular three-point boundary-value problems

Author: Zengqin Zhao (Qufu Normal Univ., Shandong, China)

Abstract: 
 In this paper, we present the Green's functions for a second-order
 linear differential equation with three-point boundary conditions.
 We give exact expressions of the solutions for the linear three-point
 boundary problems by the Green's functions. As applications,
 we study uniqueness and iteration of the solutions for a nonlinear
 singular second-order three-point boundary value problem.
 
Submitted February 5, 2007. Published November 21, 2007.
Math Subject Classifications: 34A05, 34B27, 34B05, 34B15.
Key Words: Green's function; second-order three-point boundary value problem;
           explicit solution; iteration.