| 卷积型积分微分方程解的渐近稳定性 |
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| 引用本文： | 陈太道,任崇勋. 卷积型积分微分方程解的渐近稳定性[J]. 中山大学学报(自然科学版), 2002, 41(5): 22-24 |
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| 作者姓名： | 陈太道 任崇勋 |
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| 作者单位： | 琼州大学数学系,海南,五指山,572200 |
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| 摘 要： | 研究了一类卷积型积分微分方程，利用李雅普诺夫方法，给出了判定n维系统中卷积型积分微分方程的零解一致渐近稳定性的定理以及其Volterra方程的零解渐近稳定性的定理，推广了已有的结果。
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| 关 键 词： | 卷积型积分微分方程 零解 渐近稳定性 李雅普诺夫方法 Volterra方程 特征值 |
| 文章编号： | 0529-6579(2002)05-0022-03 |
| 修稿时间： | 2001-12-06 |
Asymptotic Stability of Integrodifferential Equations of the Convolution Type |
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| CHEN Tai_dao,REN Chong_xun. Asymptotic Stability of Integrodifferential Equations of the Convolution Type[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2002, 41(5): 22-24 |
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| Authors: | CHEN Tai_dao REN Chong_xun |
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| Abstract: | A class of integrodifferential equations of the convolution type is studied.A theorem to judgem asymptotic stability of zero solution of this equation is obtained by Lyapunov method, and a theorem to judge asymptotic stability of zero solution of Volterra equation of this integrodifferential equation is obtained.These theorems expand existing results. |
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| Keywords: | convolution type integrodifferential equation zero solution asymptotic stability |
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