On the stability in periodic and almost periodic difference systems

In this paper we consider the system of difference equations xn+1 = fn(xn), fn(0) = 0, n= 0, 1, 2, . . . . This system has the trivial (zero) solution xn = 0. Sufficient conditions of its asymptotic stability are obtained in the cases when functions fn(x) are periodic and almost periodic in n.  2005 Elsevier Inc. All rights reserved