| 无穷时滞脉冲方程的一致渐近稳定性 |
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| 引用本文： | 傅显隆,梅开东.无穷时滞脉冲方程的一致渐近稳定性[J].应用数学,2009,22(2). |
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| 作者姓名： | 傅显隆 梅开东 |
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| 作者单位： | 华东师范大学数学系,上海,200241 |
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| 基金项目： | 国家自然科学基金，上海市重点学科建设项目 |
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| 摘 要： | 本文利用Liapunov泛函与Liapunov函数方法建立了无穷时滞脉冲泛函微分方程基于两种测度的一致稳定和一致渐近稳定的一个新的定理,并通过实例说明了所获结论的应用.
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| 关 键 词： | 脉冲泛函微分方程 无穷时滞 一致渐近稳定 |
Uniform Asymptotic Stability of Impulsive Equations with Infinite Delay |
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| FU Xian-long,MEI Kai-dong.Uniform Asymptotic Stability of Impulsive Equations with Infinite Delay[J].Mathematica Applicata,2009,22(2). |
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| Authors: | FU Xian-long MEI Kai-dong |
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| Abstract: | With Liapunov functional and Liapunov function techniques applied,a new theorem on uniform stability and uniform asymptotic stability in terms of two measures of an impulsive functional differential equation with infinite delay is established.An example is also provided to illustrate the application of the obtained result. |
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| Keywords: | Impulsive functional differential equations Infinite delay Uniform asymptotic stability |
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