非线性混合高阶奇异微分方程组边值问题的正解

J4 ›› 2012, Vol. 47 ›› Issue (2): 31-35.

非线性混合高阶奇异微分方程组边值问题的正解

张海燕^1,2,李耀红²

1. 宿州学院智能信息处理实验室, 安徽宿州 234000; 2. 宿州学院数学与统计学院, 安徽宿州 234000

收稿日期:2011-06-21 出版日期:2012-02-20 发布日期:2012-12-24
作者简介:张海燕(1980- ),女,讲师,硕士,研究方向为非线性泛函分析. Email:liz.zhanghy@163.com
基金资助:
安徽省教育厅优秀青年人才基金资助项目(2011SQRZ153);宿州学院科研平台项目(2011YKF13)

ositive solutions of boundary value problems for systems of nonlinear mixed higher order singular differential equations

ZHANG Hai-yan^1,2, LI Yao-hong²

1. Laboratory of Intelligent Processing, Suzhou University, Suzhou 234000, Anhui, China;
2. School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China

Received:2011-06-21 Online:2012-02-20 Published:2012-12-24

摘要/Abstract

摘要：

利用锥拉伸和压缩不动点定理,在某些一般极限条件下,给出了非线性混合高阶奇异微分方程组边值问题的正解和多个正解的存在性,改进和推广了一些现有的结果。

关键词: 微分方程组;混合边值问题;不动点定理;正解

Abstract:

Using fixed point theorems of cone expansion and compression of norm type, the existence and multiplicity of positives solutions to boundary value problems for systems of nonlinear mixed higher order singular differential equations are given under some common limit type conditions. The results presented here improve and generalize many well-known results.

Key words: systems of differential equations; mixed boundary value problems; fixed point theorems; positive solutions

张海燕1,2,李耀红2. 非线性混合高阶奇异微分方程组边值问题的正解[J]. J4, 2012, 47(2): 31-35.

ZHANG Hai-yan1,2, LI Yao-hong2. ositive solutions of boundary value problems for systems of nonlinear mixed higher order singular differential equations[J]. J4, 2012, 47(2): 31-35.

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