On stability of solutions to nonlinear almost periodic systems of difference equations
type: Item
instance of: scholarly article
title: On stability of solutions to nonlinear almost periodic systems of difference equations
zbMATH Open document ID: 0916.39001
DOI: 10.1007/BF02732358
author: O. V. Kirichenova
published in: Siberian Mathematical Journal
publication date: 1999-05-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 1286004
zbMATH Keywords: Lipschitz condition
zbMATH Keywords: almost periodic systems
zbMATH Keywords: nonlinear difference system
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
cites work: The method of Lyapunov functions for systems of linear difference equations with almost periodic coefficients
cites work: Q5522478
description: scientific article; zbMATH DE number 1286004