一类四阶奇异边值问题的正解存在的充分必要条件

A necessary and sufficient condition for the existence of positive solutions to a class of singular boundary value problems of fourth order differential equations

利用上下解方法和极大值原理给出了一般边界条件下四阶微分方程的奇异边值问题有 C2 [0 ,1 ]和 C3[0 ,1 ]正解存在的充分必要条件 .推广了韦忠礼( 1 999)

This paper studies the existence of positive solutions to singular boundary value problems of fourth order differential equations.A necessary and sufficient condition for the existence of C 2[0,1],as well as C 3[0,1],positive solutions is given by the method of lower and upper solutions,and by the maximum principle.