A necessary and sufficient condition for the existence of positive solutions of singular super-linear m-point boundary value problems

摘要

This paper investigates the existence of positive solutions of singular super-linear m-point boundary value problems of fourth order ordinary differential equations. A necessary and sufficient condition for the existence of C2[0, 1] positive solutions as well as C3[0, 1] positive solutions is given by means of the fixed point theorems on cones.