| 具有扰动的非自治中立型泛函微分方程的渐近稳定性 |
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| 引用本文： | 叶海平,高国柱.具有扰动的非自治中立型泛函微分方程的渐近稳定性[J].数学年刊A辑(中文版),2002(3). |
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| 作者姓名： | 叶海平 高国柱 |
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| 作者单位： | 东华大学理学院 上海200051
(叶海平)，东华大学理学院 上海200051(高国柱) |
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| 基金项目： | 东华大学校基金资助的项目. |
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| 摘 要： | 本文讨论了具有扰动的非自治中立型泛函微分方程的3/2-稳定性,得到了零解一致稳定和渐近稳定的充分条件.
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| 关 键 词： | 中立型方程 一致稳定 渐近稳定 |
ASYMPTOTIC STABILITY FOR A CLASS OF PERTURBING NONAUTONOMOUS NEUTRAL DIFFERENTIAL EQUATIONS |
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| YE Haiping,GAO Guozhu.ASYMPTOTIC STABILITY FOR A CLASS OF PERTURBING NONAUTONOMOUS NEUTRAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,2002(3). |
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| Authors: | YE Haiping GAO Guozhu |
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| Institution: | YE Haiping GAO Guozhu Department of Applied Mathematics,Donghua University,Shanghai 200051,China. |
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| Abstract: | In this paper the authors investigate the 3/2-stability for perturbing nonautonomous neutral differential equation and obtain sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotic stability. |
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| Keywords: | Neutral equation Uniform stability Asymptotic stability |
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