On the stability of nonautonomous difference equations

Abstract

In this paper, we obtain new sufficient conditions for the asymptotic stability and instability of equilibrium points of the nonautonomous higher order difference equations by means of weak contractions and weak expansions.

Keywords:

• asymptotic stability
• difference equations
• nonautonomous
• instability

Acknowledgement

The author would like to thank the referee for his useful comments. This work was financially supported by the Semnan University.