Instability of Discrete Systems
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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.
CitationNaulin, R. & Vanegas, C. J. (1998). Instability of discrete systems. Electronic Journal of Differential Equations, 1998,(33), pp. 1-11.
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