泛函微分方程中的Razumikhin技巧

RAZUMIKHIN APPROACH IN FUNCTIONAL DIFFERENTIAL EQUATIONS

运用Ｒａｚｕｍｉｋｈｉｎ技巧，我们获得了具有无穷时滞的泛函微分方程的零解一致稳定性，渐近稳定性与一致渐近稳定性的充分条件，应用于一些具体系统时获得了易于检验且适用性好的结果。

Using the Razumikhin approach,we obtain some sufficient conditions for uniform stability,asymptotic stability and uniform asymptotic stability of the zero solution of functional differential equations with infinite delays.Applying these conditions to two special systems we get several new results which are easily checked.