• Perturbation of Volterra difference equations

      Song, Yihong; Baker, Christopher T. H.; Suzhou University ; University College Chester (2004)
      A fixed point theorem is used to investigate nonlinear Volterra difference equations that are perturbed versions of linear equations. Sufficient conditions are established to ensure that the stability properties of linear Volterra difference equations are preserved under perturbation. The existence of asymptotically periodic solutions of perturbed Volterra difference equations is also proved.