Asymptotic constancy of solutions of systems of difference equations
type: Item
instance of: scholarly article
title: Asymptotic constancy of solutions of systems of difference equations
zbMATH Open document ID: 0849.39001
DOI: 10.1155/S0161171296000701
author: Rigoberto Medina
author: Manuel Pinto
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-11-10T00:00:00Z
full work available at URL: https://eudml.org/doc/47528
review text: The authors study the asymptotic equilibrium of a system of general nonlinear difference equations \(\Delta x_n = f(n,x_n)\), \(n \in \mathbb{N}\). They show that the solutions of the above system approach constant vectors as \(n \to \infty\), under appropriate assumptions, which they discuss in great detail. Suitable illustrations supporting their theorems are also given.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 894082
zbMATH Keywords: weighted norms
zbMATH Keywords: asymptotic equilibrium
zbMATH Keywords: system of general nonlinear difference equations
reviewed by: R. P. Agarwal
MaRDI profile type: Publication
OpenAlex ID: W2036008945
description: scientific article; zbMATH DE number 894082