带变号格林函数的三阶三点差分方程边值问题的多解性
Multiple Positve Solutions of a Discrete Third-order Three-point BVP with Sign-changing Green's Function
作者:耿天梅(西北师范大学数学与统计学院);高承华(西北师范大学数学与统计学院);张飞(西北师范大学数学与统计学院)
Author:GENG Tian-Mei(College of Mathematics and Statistics, Northwest Normal University);GAO Cheng-Hua(College of Mathematics and Statistics, Northwest Normal University);ZHANG Fei(College of Mathematics and Statistics, Northwest Normal University)
收稿日期:2016-04-28 年卷(期)页码:2017,54(1):35-42
期刊名称:四川大学学报: 自然科学版
Journal Name:Journal of Sichuan University (Natural Science Edition)
关键字:离散的三阶三点边值问题,格林函数变号,正解,锥
Key words:Discrete third-order boundary value problem, sign-changing Green's function, positive solution, cone
基金项目:国家自然科学基金,省自然科学基金,中国博士后基金,其它
中文摘要
在本文中,我们考虑离散非线性三阶三点边值问题正解的存在性,这个问题的格林函数是变号的,所用的方法的锥上的不动点.
英文摘要
In this paper, we consider the existence of positive solutions for a discrete non-liner third-order boundary value problem, which has the sign-changing Green's function. The approach we use is the fixed point theorem in cone.
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