| $n$-维中立型多时滞微分方程的稳定性分析 |
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| 引用本文： | 周先锋,蒋威,胡良根.$n$-维中立型多时滞微分方程的稳定性分析[J].数学研究及应用,2013,33(6):631-652. |
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| 作者姓名： | 周先锋 蒋威 胡良根 |
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| 作者单位： | 安徽大学数学科学学院, 安徽 合肥 230039;安徽大学数学科学学院, 安徽 合肥 230039;宁波大学数学系, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11371027;11071001;11201248), 教育部高等学校博士点基金(Grant No.20123401120001), 安徽省高等学校自然科学基金(Grant Nos.KJ2013A032;KJ2011A020), 安徽省自然科学基金(Grant No.1208085MA13), 安徽大学博士科研启动经费(Grant Nos.023033190001; 023033190181),安徽大学211工程项目(Grant Nos.KJQN1001;02303050055). |
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| 摘 要： | This paper is mainly concerned with stability analysis of neutral differential equations with multiple delays. Some criteria on instability, stability, asymptotic stability and exponential stability are obtained. The criterion on asymptotic stability is necessary and sufficient. Two examples are provided to illustrate the applications of our results. Some previous results are extended.
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| 关 键 词： | 中立型微分方程 稳定性分析 多时滞 渐近稳定性 n维 微分方程解 指数稳定性 应用程序 |
| 收稿时间： | 2012/8/12 0:00:00 |
| 修稿时间： | 2012/10/12 0:00:00 |
Stability Analysis of $n$-Dimensional Neutral Differential Equations with Multiple Delays |
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| Xianfeng ZHOU,Wei JIANG and Lianggen HU.Stability Analysis of $n$-Dimensional Neutral Differential Equations with Multiple Delays[J].Journal of Mathematical Research with Applications,2013,33(6):631-652. |
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| Authors: | Xianfeng ZHOU Wei JIANG and Lianggen HU |
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| Institution: | School of Mathematical Sciences, Anhui University, Anhui 230039, P. R. China;School of Mathematical Sciences, Anhui University, Anhui 230039, P. R. China;Department of Mathematics, Ningbo University, Zhejiang 315211, P. R. China |
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| Abstract: | This paper is mainly concerned with stability analysis of neutral differential equations with multiple delays. Some criteria on instability, stability, asymptotic stability and exponential stability are obtained. The criterion on asymptotic stability is necessary and sufficient. Two examples are provided to illustrate the applications of our results. Some previous results are extended. |
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| Keywords: | stability analysis neutral differential equation multiple delays |
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