On the behaviour of nonautonomous difference equations

Abstract

We obtain in this work a repeller version of a criterion previously obtained for the exponential stability and improve a condition for asymptotic stability of equilibrium points of the nonautonomous higher order difference equations by weak contraction arguments.

Keywords:

• asymptotic stability
• difference equations
• nonautonomous
• instability

Acknowledgement

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