一类变时滞的中立型微分方程的稳定性

The stability of neutral linear differentinal equations with variably delays

利用Lyapunov函数及不等式,研究了一类变时滞线性中立型微分方程[xi(t)-∑j=1naijxj(t-τj)]'=bixi(t)+-∑j=1nxijXj(t-δj(t))+∑j=1ndijxj(t-εj)的稳定性,并得到该方程的零解渐近稳定的充分条件.

This paper discusses the stability of a class of linear neutral differential equations with variably delays：[xi（t）-∑j=1^naijxj（t-τj）′=bixi（t）＋∑j=1^ncijxj（t-δj（t））＋∑j=1^ndijxj（t-ζj） By constructing Liapunov functional andinequality, the sufficient conditions of asymptotic stability are obtained.