POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES DEPENDING ON x'

被引：0

作者：

Chen, Yun ^{[1
]}

Yan, Baoqiang ^{[1
]}

Zhang, Lili ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Three-point boundary value problem; singularity; positive solutions; 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：

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x ''(t) broken vertical bar a(t)f(t,x(t), x'(t)) = 0, 0 < t < 1, x'(0) = 0, x(1) = alpha x(eta), where 0 < alpha < 1, 0 < eta < 1, and f may change sign and may be singular at x = 0 and x' = 0.

引用

页数：9

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