On explicit conditions for the asymptotic stability of linear higher order difference equations
type: Item
instance of: scholarly article
title: On explicit conditions for the asymptotic stability of linear higher order difference equations
zbMATH Open document ID: 1068.39017
author: Eduardo Liz
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-07T00:00:00Z
review text: The author considers a general linear higher order difference equation and the equation with a nonlinear perturbations satisfying a kind of sublinearity condition. Explicit sufficient conditions for the asymptotic stability of the zero solution are obtained.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2153758
zbMATH Keywords: linear difference equations
zbMATH Keywords: asymptotic stability
zbMATH Keywords: linear higher order difference equation
zbMATH Keywords: equation with a nonlinear perturbations
reviewed by: M. Akhmet
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.08.048
OpenAlex ID: W2170787280
cites work: A delayed-recruitment model of population dynamics, with an application to baleen whale populations
cites work: Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments
cites work: Q4871718
cites work: The global attractivity of difference equations of nonincreasing nonlinearities with applications.
cites work: Q4000352
cites work: Global attractivity in a delay difference equation
cites work: Global attractivity and presistence in a discrete population model*
cites work: Q3137926
cites work: Boundedness and Stability for Higher Order Difference Equations*
cites work: The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
cites work: A note on difference-delay equations
cites work: A note on the global stability of generalized difference equations
cites work: Discrete Halanay-type inequalities and applications.
cites work: Global asymptotic stability in a perturbed higher-order linear difference equation.
cites work: A Note on the Recursive Sequence xn + 1= pkxn+ pk - 1xn - 1+ … + p1xn - k + 1
DOI: 10.1016/J.JMAA.2004.08.048
description: scientific article; zbMATH DE number 2153758