超线性奇异边值问题正解存在的充分必要条件

A Necessary and Sufficient Condtion for the Existence of Positive Solutions of Singular Superlinear Boundary Value Problems

本文利用锥上的不动点定理给出了四阶超线性微分方程奇异边值问题C2[0,1]和C3[0,1]正解存在的充分必要条件.

This paper investigates the existence of positive solutions of singular su-perlinear 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.