EXISTENCE, MULTIPLICITY OF POSITIVE SOLUTIONS FOR FOUR-POINT BOUNDARY VALUE PROBLEM WITH DEPENDENCE ON THE FIRST ORDER DERIVATIVE

被引：0

作者：

Yang, Liu ^{[1
]}

Shen, Chunfang ^{[1
]}

Liang, Yan ^{[1
]}

机构：

[1] Hefei Teachers Coll, Dept Math, Hefei 230061, Peoples R China

来源：

FIXED POINT THEORY | 2010年 / 11卷 / 01期

关键词：

Four point boundary value problem; positive solution; cone; fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper consider positive solutions for second-order four-point boundary value problem u ''(t) + f(t, u, u') = 0, t is an element of (0,1) u(0) = alpha u(eta), u(1) = beta u(xi) where the first order derivative is involved in the nonlinear term explicitly. By using Krasnoselskii fixed point theorem and triple fixed point theorem, we show the existence, multiplicity of positive solutions for the problem. Some examples are given to illustrate the main results of the article.

引用

页码：147 / 159

页数：13

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