Asymptotic behavior of solutions of nonlinear neutral differential equations with impulses ✩

This paper is concerned with a nonlinear neutral differential equations with impulses of the form x(t) +C(t)x(t −τ) +P(t)f x(t −δ) = 0, t t0, t = tk, (∗) x(tk) = bkx t−k +(1− bk) tk tk−δ P(s +δ)f x(s) ds, k = 1, 2, . . . . (∗∗) Sufficient conditions are obtained for every solution of (∗) and (∗∗) that tends to a constant as t→∞. © 2006 Elsevier Inc. All rights reserved.