Asymptotic behavior of solutions for nonlinear delay differential equation with impulses

摘要

This paper studies the asymptotic behavior of solutions of the nonlinear delay differential equation with impulsesx′(t)+p(t)fx(t-τ)=0,t⩾t0,t≠tk,x(tk)=bkx(tk-)+(1-bk)∫tk-τtkp(s+τ)fx(s)ds,k∈Z+.Sufficient conditions are obtained under which every solution of the equation tends to a constant or zero as t→∞. Our results improve and generalize some known ones.