In this paper, we study the convergence of solutions for a class of difference equations with variable delay and give some results about the solutions of the equations converge to a constant. Our results generalize the conclusions obtained in .
Consider the following difference equation with continuous argumentsy(f) = p(t)y(t-τ) + q(t)y(t-δ(t)) + R(t).Under the assumption that the forcing function R(t) is exponentially decaying, we obtain sufficient conditions for all solutions of this equation to be exponentially decaying,these conditions are also necessary for some special cases.
