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

页码：11 / 28

页数：18

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