Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations

被引：14
|
作者：
Liu, Lishan [1 ,2 ]
Kang, Ping [1 ]
Wu, Yonghong [2 ]
Wiwatanapataphee, Benchawan [3 ]
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[3] Mahidol Univ, Dept Math, Bangkok 10400, Thailand
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 03期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
positive solutions; systems of fourth order differential equations; singular boundary value problems;
D O I：
10.1016/j.na.2006.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the singular boundary value problems for systems of nonlinear fourth order differential equations [GRAPHICS] Under some weaker conditions, we show the existence of single and multiple positive solutions of the above problem by applying the fixed-point theorem of cone expansion and compression type due to Krasnosel'skill. (c) 2007 Published by Elsevier Ltd.
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页码：485 / 498
页数：14
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