Instability of Discrete Systems
Date
1998-12-08
Authors
Naulin, Raul
Vanegas, Carmen J.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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) + 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.
Description
Keywords
Instability, Perron's Theorem, Discrete dichotomies
Citation
Naulin, R. & Vanegas, C. J. (1998). Instability of discrete systems. <i>Electronic Journal of Differential Equations, 1998,</i>(33), pp. 1-11.
Rights
Attribution 4.0 International