2007 Volume 50 Issue 3 Pages 405-419
In this paper, we will give a necessary and sufficient condition for the zero solution of second order delay difference equations of the form
xn + 2 – axn + bxn – k = 0, n = 0, 1, 2, ...,
to be asymptotically stable, which is easy to verify and to apply, where a and b are non-zero real constants, k is a positive integer.