非线性变延迟微分方程的渐近稳定性

Asymptotic Stability of Nonlinear Delay Differential Equations with a Variable Delay

关于非线性变延迟微分方程的渐近稳定性的讨论 ,M .Zennaro在Numer.Math .1997,77对延迟项做了较多严格的假定的情形下 ,给出了一类特殊方程的渐近稳定性的一个充分条件 .作者考虑了延迟项仅仅要求是有界变量而不附加其它任何限制的情形 ,并给出了非线性变延迟微分方程渐近稳定的一个充分条件 .

Under slightly more stringent hypotheses on the variable delay, M.Zennaro\ discussed the asymptotic stability of a class of nonlinear delay differential equations and gained a sufficient condition of asymptotic stability for this special class. In this paper, we consider the case of the variable delay which is a bounded variable and gain a sufficient condition of asymptotic stabilityof nonlinear delay differential equations with a variable delay.