A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian

被引：24

作者：

Zhang, Xinguang ^{[1
]}

Liu, Lishan ^{[2
]}

机构：

[1] Yantai Univ, Dept Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

[2] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 10期

基金：

中国国家自然科学基金;

关键词：

necessary and sufficient conditions; p-Laplacian; pseudo-C-3 vertical bar 0; 1 vertical bar positive solutions; cone;

D O I：

10.1016/j.na.2007.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of positive solutions for a class of singular fourth-order p-Laplacian equation with multipoint boundary conditions. By means of a monotone iterative technique, a necessary and sufficient condition for tile existence of a pseudo-C-3 vertical bar 0, 1 vertical bar positive solution is established. Also, the existence and uniqueness of the pseudo-C-3 vertical bar 0, 1 vertical bar positive solution, the iterative sequence of the solution and an error estimation for pseudo-C-3 vertical bar 0, 1 vertical bar positive solution are obtained. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3127 / 3137

页数：11

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