Electronic Journal of Differential Equations, Vol. 2010(2010), No. 38, pp. 1-9. Title: Positive solutions for second-order singular three-point boundary-value problems with sign-changing nonlinearities Authors: Caisheng Ji (Shandong Normal Univ., Jinan, China) Baoqiang Yan (Shandong Normal Univ., Jinan, China) Abstract: In this article, we study the existence and uniqueness of the positive solution for a second-order singular three-point boundary-value problem with sign-changing nonlinearities. Our main tool is a fixed-point theorem. Submitted July 30, 2009. Published March 14, 2010. Math Subject Classifications: 34B10, 34B15. Key Words: Singular three-point boundary-value problem; sign-changing; nonlinearity; positive solution; fixed point.