On the existence of positive solutions for singular boundary value problems on the half-line (Q1021830)

Using the fixed point theorem for completely continuous operators in cones, the authors prove the existence of positive solutions of the following singular problem: \[ \begin{aligned} \dfrac{1}{p(t)}(p(t)z'(t))'&+\mu f(t,z(t),z'(t))=0, \quad t\in (0,\infty),\\ a_1z(0)&-b_1\lim_{t\to 0^+}p(t)z'(t)=0, \\ a_2\lim_{t\to \infty}z(t)&+b_2\lim_{t\to\infty}p(t)z'(t)=0. \end{aligned} \]