Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

Abstract

Abstract In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for λ is derived such that for any λ lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.

Keywords

• positive solution
• periodic boundary conditions
• second-order differential equation
• singularity