POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM

被引：0
|
作者：
Cao, Daomin [1 ]
Ma, Ruyun [2 ]
机构：
[1] Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
[2] NW Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年
关键词：
Multi-point boundary value problem; positive solution; fixed point theorem;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of positive solutions to the boundary-value problem u '' + gimel alpha(t)f(u, u') = 0 u(0) = 0, u(1) = Sigma(m-2)(i=1) alpha(i)u(xi i), where a is a continuous function that may change sign on [0, 1], f is a continuous function with f(0, 0) > 0, and gimel is a samll positive constant. For finding solutions we use the Leray-Schauder fixed point theorem.
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页数：8
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