缓变系数线性中立型系统的稳定性

The Stability of Slowly Varying Coefficient with the Neutral Functional Differential Equations

利用李雅普诺夫函数方法,研究了一类具有缓变系数的线性中立型微分方程解的稳定性,主要是针对中立型微分方程的初始函数所满足的条件不需要二阶导数存在,只要求对一阶导数满足一定的条件之下,得到了零解稳定的充分条件.

The stability of solution for a class of the linear neutral differential equations with slowly varying coefficient was studied by using the method of Liapunov function. Mainly aiming at the initial function of neutral differential equations satisfied by the condition which did not require the second derivative＇s existence, only require a derivative satisfying certain conditions,the sufficient conditions for the zero solution stability were obtained.