Conditions for asymptotically exponential solutions of linear difference equations with variable coefficients
type: Item
instance of: scholarly article
title: Conditions for asymptotically exponential solutions of linear difference equations with variable coefficients
zbMATH Open document ID: 0617.39003
DOI: 10.1016/0022-247X(87)90245-9
author: Marc Artzrouni
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: For linear difference equations with variable, non-negative coefficients necessary and sufficient conditions are derived for the asymptotic exponential growth of its solutions. These conditions show how the speed of convergence of the only positive root \(x_ 0(t)\) of the t-th characteristic equation to a limit \(x_ 0\) is related to the asymptotically exponential solutions.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 4000610
zbMATH Keywords: variable coefficients
zbMATH Keywords: sequence of positive roots
zbMATH Keywords: linear difference equations
zbMATH Keywords: asymptotic exponential growth
zbMATH Keywords: characteristic equation
zbMATH Keywords: asymptotically exponential solutions
reviewed by: Dietmar Dorninger
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90245-9
OpenAlex ID: W2095134958
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description: scientific article; zbMATH DE number 4000610