Global attractivity in a nonlinear delay difference equation;

Linearzed oscillation for nonlinear neutral delay difference equations;

Oscillate of the nonlinear delay difference equation;

Employing the so called variational Liapunov method, this article discussed the stability properties of delay difference systems in terms of two measures.

Inspired by the concepts of stability and boundedness with respect to partial components for the functional differential equations in the relevant literature, this paper defined the concepts of stability and boundedness with respect to partial components for finite delay difference systems.