Geodesic
Oscillation criteria for first-order systems of linear difference equations
Electronic journal of differential equations, Tome 2009 (2009)
In this article, we obtain conditions for the oscillation of vector solutions to the first-order systems of linear difference equations

$\displaylines{ x(n+1)=a(n)x+b(n)y \cr y(n+1)=c(n)x+d(n)y }$

and

$\displaylines{ x(n+1)=a(n)x+b(n)y+f_1(n) \cr y(n+1)=c(n)x+d(n)y+f_2(n) }$

where $a(n), b(n), c(n), d(n) $ and $f_i(n), i=1, 2$ are real valued functions defined for $n \geq 0$.
Classification : 39A10, 39A12
Keywords: oscillation, linear system, difference equation 
@article{EJDE_2009__2009__a199,
     author = {Tripathy,  Arun Kumar},
     title = {Oscillation criteria for first-order systems of linear difference equations},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1165.39013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a199/}
}
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Tripathy,  Arun Kumar. Oscillation criteria for first-order systems of linear difference equations. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a199/