Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with p-Laplacian

被引：8

作者：

Sun, Bo ^{[1
]}

Zhao, Junfang ^{[1
]}

Yang, Pinghua ^{[2
]}

Ge, WeiGao ^{[1
]}

机构：

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

[2] Mech Engn Coll, Dept Math, Shijiazhuang 050003, Hebei, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Successive iteration; Positive solutions; Third-order multipoint boundary value problem; p-Laplacian; EXISTENCE;

D O I：

10.1016/j.na.2007.11.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of positive solutions for the one-dimensional p-Laplacian differential equation, (phi(p)(u ''))'(t) = q(t) f(t, u(t), u'(t), u ''(t)). 0 <= t <= 1, subject to the following multipoint generalized right-focal boundary condition, u(0) = Sigma(m)(i=1)alpha(i)u(xi(i)), u'(eta) = 0, u ''(1) = Sigma(n)(i=1)beta(i)u ''(theta(i)), by applying a monotone iterative method. We not only obtain the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：220 / 230

页数：11

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