摘要
本文研究了一类非线性项变号的三阶常微分方程多点边值问题正解存在性问题.利用Banach空间锥上不动点定理及非线性泛函分析方法,获得了该问题正解的存在性结论.推广了已有文献的结果.
In this paper, existence of third order differential equation with of positive solution of a kind of boundary value problem changing sign nonlinearity is considered. By using the fixed point theorem and nonlinear functional analysis established, which generalizes the existing literature. method, the existence of positive solution is
出处
《数学杂志》
2018年第2期317-324,共8页
Journal of Mathematics
基金
国家自然科学基金(11201109)
安徽省自然科学项目(1708085MA16)
安徽省高校自然科学重点项目(KJ2017A937)
关键词
三阶多点边值问题
正解
锥
不动点
third-order multi-point boundary value problem
positive solution
cone
fixed point
