For neutral delay difference systems of the general form, two kinds of boun
dedness criteria are established in this paper. One is by means of the disc
rete Liapunov functionals, while the other is in terms of the discrete Liap
unov functions with Razumikhin techniques. The obtained results are new in
the sense that their counterparts for neutral delay differential systems ha
ve not appeared so far. (C) 2001 Elsevier Science Ltd. All rights reserved.