Global attractivity of linear non-autonomous neutral differential-difference equations

Abstract

In this paper, by constructing Liapunov functionals, we study the global attractivity of linear non-autonomous neutral differential difference equation $$\tfrac{d}{{dt}}\left[ {x(t) - a(t)x(t - \tau )} \right] = - \mu (t)x(t) - b(t)x(t - \sigma ) + c(t)x(t - \gamma ),$$ (1) and obtain some new easily-checked sufficient conditions for the global attractivity of the zero solution of equation (1).