On stability of solutions to nonlinear almost periodic systems of difference equations
A nonlinear difference system of equations \(x_{n+1}=f(x_n,n)\) is considered. Here \(f\) is an almost periodic with respect to \(n\) function which satisfies the Lipschitz condition in \(x\). A sufficient condition for asymptotic stability in terms of the Lyapunov function is established.
scientific article; zbMATH DE number 1286004