四川师范大学学报（自然科学版）2016，Vol.39Issue(6)：846-850,5.DOI:10.3969/j.issn.1001-8395.2016.06.013
非线性微分方程三阶三点边值问题一个正解的存在性
Existence of a Positive Solution for a Third-order Three-pointBoundary Value Problem of Nonlinear Differential Equations
摘要
Abstract
The Green function plays an important role in the existence of positive solutions for the third-order three-point boundary value problems.In this paper,we consider the following boundary value problemwhere 0＜η ＜1,0＜α ＜1/η,and λ∈(0,∞) is a parameter.By establishing Green function for the related linear boundary value problem,the existence result of the positive solution for the problem considered is established by using Guo-Krasnoselskii fixed point theorem.关键词
三阶三点边值问题/正解/存在性/锥/格林函数/不动点定理Key words
third-order three-point boundary value problem/positive solution/existence/cone/Green function/fixed point theorem分类
数理科学引用本文复制引用
郭丽君..非线性微分方程三阶三点边值问题一个正解的存在性[J].四川师范大学学报（自然科学版）,2016,39(6):846-850,5.基金项目
甘肃省高等学校科研项目(2015B-214) （2015B-214）
