Stability on nonlinear delay differential equations with impulses

In this paper, the asymptotic stability for nonlinear delay differential equations with impulses equation(1.1)ẋ(t)=F(t,xt),t≥0,t≠tk,x(tk+)=x(tk)+Ik(x(tk)),k∈N is studied and 32-stability theorems are presented. The results here have improved the known results.