一类n阶非线性三点边值问题单调正解的存在性  

Monotone Positive Solutions for A Class of nth Order Nonlinear Three-Point Boundary Value Problems

作　　者：王全义[1] 邹黄辉[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2014年第3期344-348,共5页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金数学天元基金资助项目(11226145)

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.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.

关 键 词：锥 边值问题 单调正解 不动点定理 

分 类 号：O175.8[理学—数学]