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.