Positive solutions of a nonlinear three-point boundary value problem

被引：87
|
作者：
Liu, B [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
[2] Hubei Normal Univ, Dept Math, Huangshi 435002, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 132卷 / 01期
关键词：
positive solutions; Krasnoselskii's fixed point theorem; cone;
D O I：
10.1016/S0096-3003(02)00341-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using Krasnoselskii's fixed point theorem in a cone, we study the existence of single and multiple positive solutions to the three-point boundary value problem (BVP) y" (t) + a (t)f (y(t)) = 0, 0 < t < 1, y'(0) = 0, y(1) = betay(eta), where 0 < eta < 1, 0 < beta < 1. As an application, we also give some examples to demonstrate our results. (C) 2002 Published by Elsevier Science Inc.
引用
收藏
页码：11 / 28
页数：18
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