Existence of positive solutions for 2n2nth-order singular semipositone differential equations with Sturm–Liouville boundary conditions

This paper studies a class of 2n2nth-order singular semipositone differential equations with Sturm–Liouville boundary conditions. Some new results on the existence of C(2n−2)[0,1]C(2n−2)[0,1] positive solutions and C(2n−1)[0,1]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.