| 变时滞的退化中立型微分系统的稳定性 |
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| 引用本文： | 张海,蒋威.变时滞的退化中立型微分系统的稳定性[J].数学研究,2007,40(2):147-151. |
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| 作者姓名： | 张海 蒋威 |
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| 作者单位： | 1. 安徽大学数学与计算科学学院,合肥,230039;安庆师范学院数学与计算科学学院,安庆,246011
2. 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;教育部科学技术研究重点项目;安徽大学校科研和教改项目 |
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| 摘 要： | 研究了具有变时滞的退化中立型微分系统的稳定性．利用退化时滞微分系统的变易公式和Gronwall-Bellman积分不等式给出了该系统的指数估计以及稳定和指数渐近稳定的充分条件．
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| 关 键 词： | 中立型退化微分系统 变时滞 指数估计 稳定性 |
| 修稿时间： | 2006-06-19 |
Stability of Degenerate Neutral Differential Systems with Variable Delay |
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| Zhang Hai,Jiang Wei.Stability of Degenerate Neutral Differential Systems with Variable Delay[J].Journal of Mathematical Study,2007,40(2):147-151. |
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| Authors: | Zhang Hai Jiang Wei |
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| Institution: | 1. School of Mathematics and Computational Science, Anhui University, Anhui Hefei 230039;2. School of Mathematles and Computational Science, Anqing Teachers College, Anhui Anqing 246011 |
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| Abstract: | In this paper, stability of degenerate neutral differential systems with variable delay is discussed. Based on variation formula and Gronwall-Bellman integral inequality, the exponential estimation of the solution and the suficient conditions of stability and exponential asymptotic stability for degenerate neutral differential systems with variable delay are obtained. |
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| Keywords: | Degenerate neutral differential system Variable delay Exponential estimation Stability |
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