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.
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.
出处
《合肥学院学报（自然科学版）》
2014年第3期17-20,共4页
Journal of Hefei University :Natural Sciences
基金
国家自然科学基金项目(11071001)
安徽省自然科学基金项目(1208085MA13)资助
关键词
退化微分方程
变时滞
指数估计
指数渐近稳定
degenerate differential equation
variable delay
exponential estimation
exponential asymptotic stability
