%0 Journal Article
%T Instability of discrete systems
%A Raul Naulin
%A Carmen J. Vanegas
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X In this paper, we give criteria for instability and asymptotic instability for the null solution to the non-autonomous system of difference equations $$ y(t+1)=A(t)y(t) + f(t,y(t)),quad f(t,0)=0,, $$ when the system $x(t+1)=A(t)x(t)$ is unstable. In particular for $A$ constant, we study instability from a new point of view. Our results are obtained using the method of discrete dichotomies, and cover a class of difference systems for which instability properties cannot be deduced from the classical results by Perron and Coppel.
%K Instability
%K Perron's Theorem
%K discrete dichotomies.
%U http://ejde.math.txstate.edu/Volumes/1998/33/abstr.html