一类四阶次线性奇异边值问题的正解

Positive solutions for a class of fourth order singular sublinear boundary value problems

利用锥上的不动点定理给出一类四阶次线性奇异微分方程边值问题C2[0,1]和C3[0,1]正解存在的充分必要条件及正解的唯一性。这个结果可用于判断给定的边值问题正解的存在性和唯一性。

A necessary and sufficient condition as well as uniqueness for the existence of C2 [ 0,1 ] and C3 [ 0,1 ] positive solutions of sublinear singular boundary value problem of fourth order ordinary differential equation was given by means of the fixed point theorems on cones. The results can be used to judge the existence and the uniqueness of positive solutions for given boundary value problems.