| 一类脉冲微分方程零解的稳定性 |
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| 引用本文： | 窦家维,李开泰.一类脉冲微分方程零解的稳定性[J].系统科学与数学,2004,24(1):056-063. |
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| 作者姓名： | 窦家维 李开泰 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 基金项目： | 国家重大基础研究专项经费(G1999032801)资助课题 |
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| 摘 要： | 本文研究了一类在非固定时刻的脉冲微分方程。利用Lyapunov第二方法,建立了零解为稳定,渐近稳定及不稳定的判别准则。结果表明脉冲可能影响甚至改变相应的无脉冲时的微分方程的稳定性。文中还给出一例说明所得主要结果的应用。
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| 关 键 词： | 脉冲微分方程 稳定性 Lyapunov第二方法 |
| 修稿时间： | 2001年11月29 |
STABILITY OF THE ZERO SOLUTION OF A KIND OF IMPULSIVE DIFFERENTIAL EQUATIONS |
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| Jia Wei DOU,Kai Tai LI.STABILITY OF THE ZERO SOLUTION OF A KIND OF IMPULSIVE DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,2004,24(1):056-063. |
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| Authors: | Jia Wei DOU Kai Tai LI |
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| Institution: | Faculty of Science, Xi'an Jiaotong University,Xi'an 710049 |
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| Abstract: | This paper establishes some stability criteria for the zero solution of a kind of variable moments impulsive differential equations. It is shown that impulses do affect and even change the stability properties of the corresponding differential system without impulses. The Lyapunov second method is used as a main tool in obtaining the results and an example is given to illustrate the main results. |
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| Keywords: | Impulsive differential equations stability Lyapunov second method |
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