POSITIVE SOLUTIONS FOR SINGULAR STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS OF FOURTH-ORDER DIFFERENTIAL EQUATIONS

Abstract

By constructing proper cones and by making use of fixed point theory together with the properties of Green's function, the paper deals with the existence of positive solutions for fourth-order singular nonlinear Sturm-Liouville boundary value problems. The main results which are obtained essentially improve, generalize and unify many well-known results. Examples are given to show the validity of the main results.