Asymptotic stability for a class of nonlinear difference equations. (English) Zbl 1192.39015
Summary: We study the global asymptotic stability of the equilibrium point for the fractional difference equation , , where the initial conditions are arbitrary positive real numbers of the interval are nonnegative integers, and are positive constants. Moreover, some numerical simulations are given to illustrate our results.
|39A30||Stability theory (difference equations)|
|39A20||Generalized difference equations|