Naulin, RaulVanegas, Carmen J.2019-03-252019-03-251998-12-08Naulin, R. & Vanegas, C. J. (1998). Instability of discrete systems. <i>Electronic Journal of Differential Equations, 1998,</i>(33), pp. 1-11.1072-6691https://hdl.handle.net/10877/7942In 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) + ƒ(t, y(t)), ƒ(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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalInstabilityPerron's TheoremDiscrete dichotomiesArticle