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论文摘要

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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