Existence and iteration of positive solutions to a class of Sturm-Liouville-like p-Laplacian boundary value problems

被引：11

作者：

Sun, Bo ^{[1
]}

Ge, WeiGao ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 04期

基金：

中国国家自然科学基金;

关键词：

positive solutions; iteration; Sturm-Liouville-like boundary value problems; p-Laplacian;

D O I：

10.1016/j.na.2007.06.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and iteration of positive solutions for the following p-Laplacian differential equation: (phi(p) (u'(t))' + q(t) f(t, u(t), u'(t)) = 0, t epsilon (0,1), subject to the following Sturm-Liouville-like four-point boundary condition: u(0) - alpha u'(xi) = 0, u(1) + beta u'(eta) = 0 where xi, eta, epsilon (0, 1). By applying the monotone iterative technique and without the assumption of the existence of lower and upper solutions, we not only obtain the existence of positive solutions for the problems, but also establish iterative schemes for approximating the solutions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1454 / 1461

页数：8

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