Symmetric positive solutions for a singular second-order three-point boundary value problem

被引：0
|
作者：
Sun Y.-P. [1 ,2 ]
机构：
[1] Department of Mathematics, Qufu Normal University, Qufu
[2] Department of Fundamental Courses, Hangzhou Radio and TV University
来源：
Acta Mathematicae Applicatae Sinica | 2006年 / 22卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Existence; Fixed point theorem; Symmetric positive solution; Three-point boundary value problem;
D O I：
10.1007/s10255-005-0286-z
中图分类号：
学科分类号：
摘要：
In this paper, we consider the following second-order three-point boundary value problem u"(t) + a(t)f(u(t)) = 0, 0 < t < 1, u(0) - u(1) = 0, u′(0) - u′(1) = u(1/2) where a : (0, 1) → [0, ∞) is symmetric on (0, 1) and may be singular at t = 0 and t = 1, f : [0, ∞) → [0, ∞) is continuous. By using Krasnoselskii's fixed point theorem in a cone, we get some existence results of positive solutions for the problem. The associated Green's function for the three-point boundary value problem is also given.
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页码：65 / 74
页数：9
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