Geodesic
Instability of discrete systems
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we give criteria for instability and asymptotic instability for the null solution to the non-autonomous system of difference equations $y(t+1)=A(t)y(t) + f(t,y(t)), f(t,0)=0$, when the system $x(t+1)$=(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.
Classification : 39A11, 39A10
Keywords: instability, Perron's theorem, discrete dichotomies 
@article{EJDE_1998__1998__a17,
     author = {Naulin, Ra\'ul and Vanegas, Carmen J.},
     title = {Instability of discrete systems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/}
}
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Naulin, Raúl; Vanegas, Carmen J. Instability of discrete systems. Electronic Journal of Differential Equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/