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.

引用

页码：65 / 74

页数：9

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