Geodesic
Instability of discrete systems
Electronic journal of differential equations, Tome 1998 (1998)
Zbl   EuDML
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 
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/
@article{EJDE_1998__1998__a17,
     author = {Naulin,  Ra\'ul and Vanegas,  Carmen J.},
     title = {Instability of discrete systems},
     journal = {Electronic journal of differential equations},
     year = {1998},
     volume = {1998},
     zbl = {0912.39005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/}
}
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AU  - Vanegas,  Carmen J.
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