Advances in Difference Equations
Volume 2008 (2008), Article ID 867635, 6 pages
Reducibility and Stability Results for Linear System of Difference Equations
1Department of Mathematics and Computer Sciences, Faculty of Arts and Science, Izmir University, 35340 Izmir, Turkey
2Department of Mathematics, Faculty of Arts and Science, Gazi University, Teknikokullar, 06500 Ankara, Turkey
Received 8 August 2008; Revised 22 October 2008; Accepted 29 October 2008
Academic Editor: Martin J. Bohner
Copyright © 2008 Aydin Tiryaki and Adil Misir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We first give a theorem on the reducibility of linear system of difference equations of the form . Next, by
the means of Floquet theory, we obtain some stability results. Moreover, some
examples are given to illustrate the importance of the results.