Geodesic
Oscillation criteria for first-order systems of linear difference equations
Electronic Journal of Differential Equations, Tome 2009 (2009).

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

Summary: 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__a99,
     author = {Tripathy, Arun Kumar},
     title = {Oscillation criteria for first-order systems of linear difference equations},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a99/}
}
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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__a99/