| 一类变时滞退化微分方程的指数渐近稳定性 |
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| 引用本文： | 吴禧,周宗福.一类变时滞退化微分方程的指数渐近稳定性[J].合肥学院学报(自然科学版),2014,24(3):17-20. |
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| 作者姓名： | 吴禧 周宗福 |
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| 作者单位： | 安徽大学数学科学学院 合肥230601 |
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| 基金项目： | 国家自然科学基金项目，安徽省自然科学基金项目 |
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| 摘 要： | 研究了一类变时滞的退化微分方程的指数渐近稳定性,利用Gronwall-Bellman不等式,给出此类微分方程解的指数估计,进而得到其零解指数渐近稳定的若干充分条件.
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| 关 键 词： | 退化微分方程 变时滞 指数估计 指数渐近稳定 |
Exponetial Asymptotic Stability of A Class of Degenerate Differential Equation with Variable Delay |
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| WU Xi,ZHOU Zong-fu.Exponetial Asymptotic Stability of A Class of Degenerate Differential Equation with Variable Delay[J].Journal of Hefei University :Natural Sciences,2014,24(3):17-20. |
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| Authors: | WU Xi ZHOU Zong-fu |
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| Institution: | (School of Mathmatical Sciences, Anhui University, Hefei, 230601, China) |
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| Abstract: | This paper mainly studies the exponential asymptotic stability of a class of degenerate differential equation with variable delay. By using Gronwall Bellman inequality, we get the exponetial estimation of the class of differential equation, and obtain some sufficient conditions for the exponential asymptotic stability of the zero solution. |
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| Keywords: | degenerate differential equation variable delay exponential estimation exponential asymptotic stability |
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