一类中立型变时滞微分方程的零解全局吸引的充分条件

A Sufficient Condition to the Global Abstraction of the Zero Solution of A certain Neutral Differential Equation With Variable Delays

利用构造Liapunov泛函的方法,给出了中立型变时滞微分方程d/(dt)[x(t)+ax(t-τ(t))]=bx(t)+cx(t-τ_1(t))和d/(dt)[x(t)+ax(t-τ(t))]=bx(t-τ(t))+cx(t-τ_2(t))零解全局吸引的一个充分条件。

By use of Liapunov function method on the following Neutral Differential Equations with variable delays d/dt[x(t) + ax(t-t(t))] = bx(t) + cx(t-t1(t)) and -d/dt[x(t) + ax(t-t(t))] = bx(t -t(t)) + cx(t- t2(t)) this paper gives a sufficient condition under which their zero solution are global abstraction.