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.
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页码：258 / 268
页数：11
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