| 具有扰动项的n维Volterra型积分微分方程的稳定性 |
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| 引用本文： | 常啸,温朝辉.具有扰动项的n维Volterra型积分微分方程的稳定性[J].大学数学,2008,24(4). |
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| 作者姓名： | 常啸 温朝辉 |
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| 作者单位： | 1. 安徽财经大学,统数学院,蚌埠,233030
2. 上海大学,系统生物研究所,上海,200444 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 讨论具有扰动项的n维Volterra积分微分方程.x=A(x)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t))零解的稳定性及一致稳定性,得到零解稳定和一致稳定的若干充分判据.
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| 关 键 词： | 积分微分方程 时滞 稳定性 一致稳定性 |
Stability of Perturbing n-dimensional Volterra Integral and Differential Equations |
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| CHANG Xiao,WEN Zhao-hui.Stability of Perturbing n-dimensional Volterra Integral and Differential Equations[J].College Mathematics,2008,24(4). |
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| Authors: | CHANG Xiao WEN Zhao-hui |
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| Abstract: | This paper deals with the problem on the stability and uniform stability of perturbing n-dimensional Volterra integral and differential equation(t)=A(t)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t)) f(t,0)≡0.It obtains some sufficient conditions for the zero solution of this equation to be stable as well as uniformly stable. |
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| Keywords: | integral-differential equations delays stability uniform stability |
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