Successive iteration and positive symmetric solution for a Sturm-Liouville-like four-point boundary value problem with a p-Laplacian operator

被引：6

作者：

Zhao, Xiangkui ^{[1
,2
]}

Ge, Weigao ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Appl Sci, Dept Math & Mech, Beijing 100083, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 11期

关键词：

Sturm-Liouville-like; Four-point boundary value problem; p-Laplacian operator; Symmetric positive solutions; Iteration; EXISTENCE;

D O I：

10.1016/j.na.2009.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following Sturm-Liouville-like four-point p-Laplacian boundary value problem with the nonlinear term f depending on the first-order derivative (phi(p)(u'(t)))' + q(t)f(t,u(t)u'(t)) = 0 0 < t < 1 subject to the boundary conditions u(0) - beta u'(xi) = 0, u(1) + beta u'(eta) = 0. By using a monotone iterative technique, the existence of symmetric positive solutions and corresponding iterative schemes are obtained. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：5531 / 5544

页数：14

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