[1]王全义.一类中立型泛函微分方程的概周期解[J].华侨大学学报(自然科学版),2003,24(4):349-353.[doi:10.3969/j.issn.1000-5013.2003.04.003]
 Wang Quanyi.Almost Periodic Solution to a Class of Neutral Type Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2003,24(4):349-353.[doi:10.3969/j.issn.1000-5013.2003.04.003]
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一类中立型泛函微分方程的概周期解()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第24卷
期数:
2003年第4期
页码:
349-353
栏目:
出版日期:
2003-10-20

文章信息/Info

Title:
Almost Periodic Solution to a Class of Neutral Type Functional Differential Equations
文章编号:
1000-5013(2003)04-0349-05
作者:
王全义
华侨大学数学系 福建泉州362011
Author(s):
Wang Quanyi
Dept. of Math., Huaqiao Univ., 362011, Quanzhou, China
关键词:
中立型泛函微分方程 概周期解 存在性 唯一性
Keywords:
functional differential equation of neutral type almost periodic solution existence uniqueness
分类号:
O177
DOI:
10.3969/j.issn.1000-5013.2003.04.003
文献标志码:
A
摘要:
研究一类具有无穷时滞的中立型泛函微分方程,及其概周期解的存在性及唯一性等问题 .利用不动点方法及指数型二分性,得到一些关于该方程的概周期解的存在性及唯一性的新结果
Abstract:
A study is made on the existence and the uniqueness of almost periodic solution to a class of neutral type functional differential equations with infinite time lay. By using fixed point method and exponential dichotomy, the author obtains some new results confirming the existence and the uniqueness of almost periodic solution to these equations

参考文献/References:

[1] 杨喜陶, 冯春华. 一类具有无穷时滞的中立型Volterra积分微分方程概周期解的存在唯一性 [J]. 数学学报, 1997(3):395-402.
[2] 王全义. 一类中立型泛函微分方程的概周期解的存在唯一性与稳定性 [J]. 华侨大学学报(自然科学版), 2002(3):222-228.doi:10.3969/j.issn.1000-5013.2002.03.002.
[3] 王全义. 具有无限时滞的微积分方程的概周期解的存在性与唯一性 [J]. 华侨大学学报(自然科学版), 1996(4):336-340.
[4] 王全义. 概周期解的存在性、唯一性与稳定性 [J]. 数学学报, 1997(1):80-89.
[5] Fink A M. Almost periodic differential equations [M]. New York: Springer-Verlag, 1974.60-61, 125-127.

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备注/Memo

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