Positive solutions of singular ordinary differential equations with nonlinear boundary conditions Original Research Article

In this paper, we establish the existence of positive solutions for the singular boundary value problems of the form x″+q(t)f(t, x, x′)=0, 0<1, x(0)=0, ϑ(x′(1))+x(1)=0 by a nonlinear alternative of Leray-Schauder type and Urysohnʹs lemma, where f(t, x, y) is singular at x=0.