Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 29, pp. 1-11.

Title: Oscillation criteria for first-order systems of linear 
       difference equations
   
Author: Arun Kumar Tripathy (Kakatiya Institute of Technology, India)

Abstract:
 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 $n \geq 0$.
 
Submitted November 29, 2008. Published February 09, 2009.
Math Subject Classifications: 39A10, 39A12.
Key Words: Oscillation; linear system; difference equation.