Chen, YunYan, BaoqiangZhang, Lili2021-08-062021-08-062007-04-25Chen, Y., Yan, B., & Zhang, L. (2007). Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on x′. <i>Electronic Journal of Differential Equations, 2007</i>(63), pp. 1-9.1072-6691https://hdl.handle.net/10877/14225Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x″(t) + α(t)ƒ(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and ƒ may change sign and may be singular at x = 0 and x′ = 0.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalThree-point boundary value problemSingularityPositive solutionsFixed point theoremArticle