difference equations, stability, Lyapunov's direct method
Abstract
In this paper we consider the discrete system which is described by difference equationsx_n+1=f_n(x_n), f_n(0)=0, n=0, 1, 2,... .This system has the trivial (zero) solution x_n=0. Sufficient conditionsof its asymptotic stability are obtained in the cases when functions f_n(x)are almost periodic in n.
