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

被引：20

作者：

Li, Jianli ^{[1
]}

Shen, Jianhua

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Coll Huaihua, Dept Math, Hunan 418008, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 01期

基金：

中国国家自然科学基金;

关键词：

positive solution; fixed point theorem; three-point boundary value problem;

D O I：

10.1016/j.amc.2006.01.095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the second-order three-point boundary value problem u '' (t) + a (t) u'(t) + b (t) u (t) + h (t)f (u) = 0, t is an element of (0, 1), u(0) = 0, alpha u(q) = u(l). The existence criteria for multiple positive solutions is obtained by using Krasnoselskii fixed point theorem and Leggett-Williams fixed-point theorem. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：258 / 268

页数：11

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