Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 63, pp. 1-9.
Title: Positive solutions for singular three-point boundary-value
problems with sign changing nonlinearities depending on $x'$
Author: Yun Chen (Shandong Normal Univ., Jinan, China)
Baoqiang Yan (Shandong Normal Univ., Jinan, China)
Lili Zhang (Shandong Normal Univ., Jinan, China)
Abstract:
Using a fixed point theorem in cones, this paper shows
the existence of positive solutions for the singular
three-point boundary-value problem
\begin{gather*}
x''(t)+a(t)f(t,x(t),x'(t))=0,\quad 0