Existence and monotone iteration of positive solutions for a three-point boundary value problem

被引：13
|
作者：
Pang, Huihui [1 ]
Feng, Meiqiang [1 ,2 ]
Ge, Weigao [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, PR, Peoples R China
[2] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2008年 / 21卷 / 07期
基金：
中国国家自然科学基金;
关键词：
iteration; monotone positive solution; three-point boundary value problem; completely continuous; quasi-symmetric;
D O I：
10.1016/j.aml.2007.07.019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we obtain the existence of quasi-symmetric monotone positive solutions and establish a corresponding iterative scheme for the following three-point boundary value problem: u ''(t) + f(t, u(t), u '(t)) = 0, 0 < t < 1, alpha u(0) - beta u '(0) = 0, u '(eta) + u '(1) = 0. The main tool is the monotone iterative technique. The interesting point is that the nonlinear term involves the first-order derivative explicitly. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：656 / 661
页数：6
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