A necessary and sufficient condition for 2nth-order singular super-linear m-point boundary value problems ✩

In this paper, we study the existence of positive solutions for singular super-linear m-point boundary value problems of 2nth-order ordinary differential equations. A necessary and sufficient condition for the existence of C2n−2[0, 1] positive solutions as well as C2n−1[0, 1] positive solutions is given by means of the fixed point theorems on cones. © 2006 Elsevier Inc. All rights reserved.