用常微分方程组逼近中一类立型微分差分方程组

针对常微分方程组逼近一类中立型微分差分方程组的问题，当前普遍研究主要集中在一类中立型微分差分方程组内常数相加所得结果小于0的条件下，常微分方程组的零解渐进稳定性能够逼近所示的一类中立型微分差分方程组时，滞量的充分必要条件，却忽略常数相加所得结果等于0的条件下（即第一临界条件下），滞量的充分必要条件。因此研究用常微分方程组逼近一类中立型微分差分方程组方法，从一类中立型微分差分方程组内常数相加所得结果小于0和等于0两种条件下，分别研究常微分方程组的零解渐进稳定性能够逼近所示的一类中立型微分差分方程组时滞量的充分必要条件。

A Class of Vertical Differential Difference Equations is Approximated by Ordinary Differential Equations

Ordinary differential equations, approximation for a class of neutral differential difference equations of the problem, the current popular studies have focused on a class of neutral differential difference equations in addition of constant results under the condition of less than zero, zero solution asymptotic stability of ordinary differential equations can be shown in close to a class of neutral differential difference equations, delay is sufficient and necessary conditions. However, the necessary and sufficient conditions of hysteresis are ignored under the condition that the sum of constants is equal to 0 (i.e. under the first critical condition).So the ordinary differential equations with approximation method, a class of neutral differential difference equations from constant within a class of neutral differential difference equations together, the result is less than 0 and is equal to zero, under the condition of two kinds of ordinary differential equations, respectively study the stability of zero solutions of can approach is shown in a class of neutral differential difference equations of delay sufficient and necessary conditions.