Asymptotic Behavior of Solutions of Impulsive Delay Differential Equations*

Effective sufficient conditions for the asymptotic stability of the trivial solution of impulsive delay differential equation ¡ n ~x9 t. q pi t.x tyti.s0 is1 ¢ x tqk.yx tk.sbkx tk. are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation