Geodesic
Oscillation criteria for first-order systems of linear difference equations
Electronic journal of differential equations, Tome 2009 (2009)
Zbl   EuDML
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 
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/
@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},
     year = {2009},
     volume = {2009},
     zbl = {1165.39013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a99/}
}
TY  - JOUR
AU  - Tripathy,  Arun Kumar
TI  - Oscillation criteria for first-order systems of linear difference equations
JO  - Electronic journal of differential equations
PY  - 2009
VL  - 2009
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a99/
LA  - en
ID  - EJDE_2009__2009__a99
ER  - 
%0 Journal Article
%A Tripathy,  Arun Kumar
%T Oscillation criteria for first-order systems of linear difference equations
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a99/
%G en
%F EJDE_2009__2009__a99