EXISTENCE OF SIGN-CHANGING SOLUTION FOR THREE-POINT BOUNDARY VALUE PROBLEM

• 作者: Li Chunyan Liu Bing
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 三点边值问题 可变符号解 存在性 不动点指数
• 年，卷（期）: 2007,（2）
• 页码范围: 149-158
• 页数: 10页
• 分类号: O175.8

摘要

<正>In this paper,by using the fixed-point index theory,we study the existence of sign-changing solution to some three-point boundary value problem {y″(t)+f(y)=0,t∈[0,1], y(0)=0,y′(1)=αy′(η), where 0<α<1,0<η<1,f:R→R is continuous,strictly increasing and f(0)=0.