考察了一类非线性三点边值问题,运用锥拉伸与锥压缩型的Krasnosel′skii不动点定理及格林函数的性质,获得了其两个单调递增正解存在性的充分条件,推广和改进了以前文献的相关结果.
In this paper,a class of nonlinear three-point boundary value problems is considered,and the existence of double monotone increasing positive solutions is obtained by making use of the Krasnosel'skii fixed point theorem of cone expansion-compressions type and the properties of Green function,the results generalize and improve the known ones.