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 formequation(*)[x(t)+C(t)x(t−τ)]′+P(t)f(x(t−δ))=0,t⩾t0,t≠tk,equation(**)x(tk)=bkx(tk−)+(1−bk)∫tk−δtkP(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→∞t→∞.