Existence of positive solutions for 2nth-order singular semipositone differential equations with Sturm-Liouville boundary conditions

摘要

This paper studies a class of 2nth-order singular semipositone differential equations with Sturm-Liouville boundary conditions. Some new results on the existence of C~(2n-2)[0,1] positive solutions and C~(2n-1)[0,1] positive solutions for this class of differential equations are derived. We obtain some relations between the solutions and Green's functions.