In this paper, we consider the boundary value problem      subject to the boundary conditions    and    In the setting,  and  and  are constants. By placing certain restrictions on the nonlinear term f, we prove the existence and nonexistence of at least one positive solution to the boundary value problem with the use of the Krasnosel’skii fixed point theorem. The novelty in our setting lies in the fact that  may be singular at  and  We conclude with examples illustrating our results obtained in this paper.

cone, positive solution, existence, boundary value problem, fixed point theorem.