Triple positive solutions for a multi-point boundary value problem with a one-dimensional p-Laplacian

被引:9
|
作者
Wang, Youyu [1 ]
Zhao, Meng [1 ]
Hu, Yinping [1 ]
机构
[1] Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China
关键词
Multi-point boundary value problem; Positive solutions; Fixed point theorem; One-dimensional p-Laplacian; Existence; STURM-LIOUVILLE OPERATOR; EXISTENCE; KIND;
D O I
10.1016/j.camwa.2010.07.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the multiplicity of positive solutions for a one-dimensional p-Laplacian differential equation with Sturm-Liouville-like boundary conditions. By means of a fixed point theorem for cones in Banach spaces, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problems. (C) 2010 Elsevier Ltd. All rights reserved.
引用
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页码:1792 / 1802
页数:11
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