Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems Original Research Article

In the case where the nonlinearity term is allowed to change sign, we study the nonresonance semipositone singular Dirichlet boundary value problem (BVP) View the MathML source{−x″+ρp(t)x=λ[f(t,x)+g(t,x)],00λ>0 is a parameter, ρ>0ρ>0 is a constant. We derive an interval of λλ such that for any λλ lying in this interval, the semipositone BVP has at least one positive solution if ff is superlinear or sublinear. The results obtained improve and extend many recent results. Our approach is based on Krasnaselskii’s fixed point theorem in cones.