Asymptotic equivalence of second-order difference equations
type: Item
instance of: scholarly article
title: Asymptotic equivalence of second-order difference equations
zbMATH Open document ID: 0938.39005
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-12-01T00:00:00Z
review text: The author considers the second-order difference equations \[ \Delta (p_{n-1}\Delta x_{n-1})+q_nx_n=0 \] and \[ \Delta (p_{n-1}\Delta y_{n-1})+q_n y_n=f(n,y_n). \] The asymptotic behavior of solutions to these equations are discussed, and conditions for the asymptotic equivalence of these solutions are established.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1354752
zbMATH Keywords: second-order difference equations
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: asymptotic equivalence
author: Jarosław Morchało
reviewed by: Patricia J. Y. Wong
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6508
OpenAlex ID: W2036434028
cites work: On the asymptotic relationships between solutions of two systems of ordinary differential equations
cites work: Asymptotic relationships between the solutions of two second order differential equations
cites work: Asymptotic equivalence of Volterra difference systems
cites work: Q4953524
cites work: Relationships among the solutions of two systems of ordinary differential equations
cites work: Asymptotic relationships between the solutions of two systems of differential equations
cites work: Q4084594
cites work: Q3869728
DOI: 10.1006/JMAA.1999.6508
description: scientific article; zbMATH DE number 1354752