On existence of positive solutions of Sturm–Liouville boundary value problems for a nonlinear singular differential system

摘要

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 differential system. Some well-known results in the literature are generalized and improved. An example is presented to illustrate the application of our main result.