中文摘要：

研究一类n阶非线性三点边值问题的单调正解的存在性.利用锥压缩锥拉伸不动点定理及分析技巧,建立该边值问题存在一个单调正解的一些充分条件.所得结果推广并改进了ELOEPW等的研究结果.

英文摘要：

In this paper, we study the existence on monotone positive solutions for a class of nth order nonlinear three- point boundary value problems. By employing the cone compression and extension fixed point theorem and some analytical skills, we establish some sufficient conditions which guarantee the existence of one monotone positive solution for the boundary value problems. Our results extend and improve some results made by ELOEPW etc.