Existence of positive solutions of Sturm–Liouville boundary value problems for a nonlinear singular second order differential system with a parameter

Abstract

By employing the fixed point theorem of cone expansion and compression of norm type, we investigate the existence of positive solutions of Sturm–Liouville boundary value problems for a nonlinear singular second order ordinary differential system with a parameter. Some well-known results in the literature are generalized and improved. An example is presented to illustrate the application of our main result.