Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 141, pp. 1-10.

Title: Existence of positive solutions for boundary value problems
       of second-order nonlinear differential equations on the half line

Author: Xingqiu Zhang (Liaocheng Univ., Liaocheng, Shandong, China)

Abstract:
 In this article, we study the existence of positive solutions
 for Sturm-Liouville boundary-value problems of a second-order
 nonlinear differential equation on the half line.
 Our approach is based on the fixed point theorem and the
 monotone iterative technique. Without  assuming the existence
 of lower and upper solution, we obtain the existence of
 positive solutions, and establish iterative schemes for
 approximating the solutions.

Submitted October 22, 2008. Published October 30, 2009.
Math Subject Classifications: 34B10, 34B15, 34B18, 34B40.
Key Words: Successive iteration; singular differential equation;
           half line; positive solution.