| 具分段连续时滞的微分系统的周期解与稳定性 |
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| 引用本文： | 刘可为,蒋威.具分段连续时滞的微分系统的周期解与稳定性[J].大学数学,2007,23(4):113-119. |
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| 作者姓名： | 刘可为 蒋威 |
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| 作者单位： | 合肥工业大学,理学院,合肥,230009;安徽大学,数学与计算科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金项目(10241005)，教育部重点项目(205068)，安徽大学创新团队项目 |
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| 摘 要： | 讨论了一类具分段连续时滞的高维微分系统的周期解的存在唯一性和全局渐近稳定性,得到了新的实用的判别条件,推广或改进了文2-4,6,9]的相关结果..
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| 关 键 词： | 分段连续时滞 微分系统 周期解 全局渐近稳定性 |
| 文章编号： | 1672-1454（2007）04-0113-07 |
| 修稿时间： | 2005-10-11 |
The Existence, Uniqueness and Stability of Periodic Solution to a Class of Differential Systems with Piecewise Continuous Delays |
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| LIU Ke-wei,JANG Wei.The Existence, Uniqueness and Stability of Periodic Solution to a Class of Differential Systems with Piecewise Continuous Delays[J].College Mathematics,2007,23(4):113-119. |
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| Authors: | LIU Ke-wei JANG Wei |
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| Institution: | 1. School of Sciences, Hefei University of Technology, Hefei 230009, China; School of Mathematics and Computational Science, Anhui University, Hefei 230039, China |
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| Abstract: | The existence,uniqueness and globally asymptotic stability of periodic solutions for a class of higher dimensional differential systems with piecewise continuous delays are discussed.Some effective results are obtained.Meanwhile,the results in this paper improve and extend the corresponding ones of papers 2-4,6,9]. |
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| Keywords: | piecewise continuous delays differential systems periodic solutions globally asymptotic stability |
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