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.

引用

页码：485 / 498

页数：14

共 14 条

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