摘要

This paper is concerned with an impulsive neutral differential equation of Euler form with unbounded delays {d/dt[x(t) - C(t)x(alpha t)] + P(t)/t x(beta t) = 0, t >= t(0) > 0, t not equal t(k), x(t(k)) = bkx(t(k)(-)) + (1 - b(k)) integral(tk)(beta tk)p(s/beta)/s x(s)ds, k = 1,2, .... (*) Sufficient conditions are obtained for every solution of (*) to tend to a constant as t -> infinity.