非线性泛函微分系统的指数稳定

J4 ›› 2009, Vol. 44 ›› Issue (9): 84-89.

非线性泛函微分系统的指数稳定

仇华海姚云飞王志刚陈斯养

1. 阜阳师范学院数学与计算科学学院, 安徽阜阳 236032;
2. 陕西师范大学数学与信息科学学院，陕西西安 710062

收稿日期:2008-10-30 出版日期:2009-09-16 发布日期:2009-11-05
作者简介:仇华海(1975-)，男，讲师，硕士，从事生态数学的研究.Email: qiuhuahai2006@163.com
基金资助:
国家自然科学基金资助项目(10071048); 阜阳师范学院青年基金资助项目(2008LQ12)

The exponential stability of a nonlinear functionaldifferential system

CHOU Hua-Hai, TAO Yun-Fei, WANG Zhi-Gang, CHEN Shi-Yang

1. Department of Mathematics, Fuyang Teachers College, Fuyang 236032, Anhui, China; 2. Department of Mathematics, Shaanxi Normal University, Xi’an 710062, Shaanxi,China

Received:2008-10-30 Online:2009-09-16 Published:2009-11-05

摘要/Abstract

摘要：

利用线性化的方法,解决一类非线性泛函微分系统的周期解的稳定性。如果非线性泛函微分系统的周期的齐次线性微分系统的零解是指数稳定的, 那么可以得到非线性泛函微分系统的周期解是指数稳定的。以周期的Lotka-Volterra型n-种群竞争系统为例,得到系统周期解是指数稳定的。

关键词: 线性化;周期解;指数稳定

Abstract:

Periodic solutions of a class of nonlinear functional differential system(FDS) are studied using the method of linearization. It shows that the periodic solution of the nonlinear FDS is exponentially stable, if the zero solution of the associated linear periodic linear homogeneous FDS is exponentially stable. We obtain the exponential stability of a class of periodic Lotka-Volterra type n-species competitive systems.

Key words: linearization; periodic solution; exponential stability

中图分类号:

O175

仇华海姚云飞王志刚陈斯养. 非线性泛函微分系统的指数稳定[J]. J4, 2009, 44(9): 84-89.

CHOU Hua-Hai, TAO Yun-Fei, WANG Zhi-Gang, CHEN Shi-Yang. The exponential stability of a nonlinear functionaldifferential system[J]. J4, 2009, 44(9): 84-89.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	刘守华刘保东张全信. 二阶非线性摄动微分方程的振动性与渐近性[J]. J4, 2009, 44(9): 75-83.
[2]	娄国久张兴秋王建国. Banach空间一阶非线性混合型积微分方程正解的存在性[J]. J4, 2009, 44(8): 74-79.
[3]	. 一类新的含有垂直传染与脉冲免疫的SIR传染病模型的定性分析[J]. J4, 2009, 44(5): 67-73.
[4]	朱宏,刘雄 . 一类Wick型随机KdV-MKdV方程的白噪声泛函解[J]. J4, 2008, 43(5): 45-49 .
[5]	宋霞1,2,刘保东1*,张全信2. 一类二阶非线性摄动微分方程解的渐近性质[J]. J4, 2009, 44(2): 19-23.