Global existence results for impulsive functional differential equations

In this paper, we investigate the existence of solutions of impulsive delay differential equation x (t) = f (t,xt ), t 0, t = τk, k ∈ N, Δx(t) = Ik(x(t)), t = τk, k ∈ N. New global existence theorems are established without assuming the global existence of solutions of the corresponding continuous equation. © 2005 Elsevier Inc. All rights reserved