ANZIAM  J.  48 (2006), 135-142
On the discrete asymptotic stability conditions of perturbed linear discrete systems with periodic coefficients

Kemal Uslu
  The University of Selcuk
  Science and Art Faculty
  Department of Mathematics
  Campus/Konya
  Turkey
    kuslu@selcuk.edu.tr


Abstract
We study the discrete asymptotic stability conditions of the perturbed system of first-order linear difference equations with periodic coefficients under the assumption that the related unperturbed system is discrete asymptotically stable. These conditions are dependent on the perturbation matrix $B(n)$ itself and a different parameter is given for obtaining some estimates for the solutions of the unperturbed system.
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