| 一类中立型泛函微分方程的概周期解及稳定性 |
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| 引用本文： | 王全义.一类中立型泛函微分方程的概周期解及稳定性[J].华侨大学学报(自然科学版),2006,27(1):12-15. |
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| 作者姓名： | 王全义 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362021 |
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| 基金项目： | 国务院侨务办公室科研基金资助项目(01QZR02) |
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| 摘 要： | 研究一类具有有限时滞的中立型泛函微分方程的概周期解的存在性、唯一性及稳定性等问题.利用指数型二分性理论和不动点方法,以及相关分析技巧,得到关于该方程的概周期解的存在性、唯一性及稳定性的新结果.
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| 关 键 词： | 中立型泛函微分方程 概周期解 存在性 唯一性 稳定性 |
| 文章编号： | 1000-5013（2006）01-0012-04 |
| 收稿时间： | 2005-04-26 |
| 修稿时间： | 2005-04-26 |
The Almost Periodic Solutions to a Class of Neutral Functional Differential Equations and Their Stability |
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| Wang Quanyi.The Almost Periodic Solutions to a Class of Neutral Functional Differential Equations and Their Stability[J].Journal of Huaqiao University(Natural Science),2006,27(1):12-15. |
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| Authors: | Wang Quanyi |
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| Institution: | Department of Mathematics, Huaqiao University, 362021, Quanzhou, China |
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| Abstract: | The work deals with the almost periodic solutions to a class of neutral functional differential equations with finite delay.By applying exponential dichotomy theory and fixed point method as well as some skills of analysis,the author obtains some new results on the existence,uniqueness and stability of almost periodic solutions to these equations. |
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| Keywords: | neutral functional differential equation almost periodic solution existence uniqueness stability |
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