Geodesic
Instability of discrete systems
Electronic journal of differential equations, Tome 1998 (1998)
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},
     year = {1998},
     volume = {1998},
     zbl = {0912.39005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/}
}
TY  - JOUR
AU  - Naulin,  Raúl
AU  - Vanegas,  Carmen J.
TI  - Instability of discrete systems
JO  - Electronic journal of differential equations
PY  - 1998
VL  - 1998
UR  - http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/
LA  - en
ID  - EJDE_1998__1998__a17
ER  - 
%0 Journal Article
%A Naulin,  Raúl
%A Vanegas,  Carmen J.
%T Instability of discrete systems
%J Electronic journal of differential equations
%D 1998
%V 1998
%U http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a17/
%G en
%F EJDE_1998__1998__a17
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/