[1]方聪娜,王全义.一类高维概周期系统的不稳定概周期解[J].华侨大学学报(自然科学版),2004,25(1):10-13.[doi:10.3969/j.issn.1000-5013.2004.01.003]
　Fang Congna,Wang Quanyi.The Instable Almost Periodic Solutions to a Class of Higher Dimensional Almost Periodic Systems[J].Journal of Huaqiao University(Natural Science),2004,25(1):10-13.[doi:10.3969/j.issn.1000-5013.2004.01.003]
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一类高维概周期系统的不稳定概周期解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第25卷
期数:
2004年第1期
页码:
10-13
栏目:
出版日期:
2004-01-20

文章信息/Info

Title:
The Instable Almost Periodic Solutions to a Class of Higher Dimensional Almost Periodic Systems
文章编号:
1000-5013(2004)01-0010-04
作者:
方聪娜; 王全义
华侨大学数学系; 华侨大学数学系 福建泉州362011; 福建泉州362011
Author(s):
Fang Congna;  Wang Quanyi
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
概周期解;  存在性;  唯一性;  不稳定性
Keywords:
almost periodic solutions;  existence;  uniqueness;  instability
分类号:
O19
DOI:
10.3969/j.issn.1000-5013.2004.01.003
文献标志码:
A
摘要:
研究一类高维概周期系统的概周期解问题 .利用指数型二分性和Lyapunov泛函方法,得到一些关于该类系统概周期解的存在性、唯一性及不稳定性的新结果
Abstract:
A study is made on problem of almost periodic solutions to a class of higher dimensional almost periodic systems. By using exponential type dichotomy and method of Lyapunov functional, some new results are obtained on existence and uniqueness and instability of the almost periodic solutions this class of systems.

参考文献/References:

[1] 彭世国, 谢湘生. 具有分布滞量的微分系统的周期解和全局吸引性 [J]. 数学物理学报, 2001(4):466-471.doi:10.3321/j.issn:1003-3998.2001.04.006.
[2] 王全义. 周期解的存在性、唯一性与稳定性 [J]. 数学年刊A辑, 1994(5):537-545.
[3] 曹进德, 李永昆. 具时滞的高维周期系统周期解的存在性与唯一性 [J]. 数学学报, 1997(2):280-286.
[4] Fink A M. Almost Periodic Differential Equations [M]. New York: Springer-Verlag, 1974.125-127.

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备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(01QZR02)
更新日期/Last Update: 2014-03-23