Advances in Difference Equations
Volume 2008 (2008), Article ID 867635, 6 pages
doi:10.1155/2008/867635
Reducibility and stability results for linear system of difference equations
Aydin Tiryaki1
and Adil Misir2
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
Abstract
We first give a theorem on the reducibility of linear system of difference equations of the form x(n+1)=A(n)x(n). Next, by the means of Floquet theory, we obtain some stability results. Moreover, some examples are given to illustrate the importance of the results.