Asymptotic behavior of solutions of Volterra difference equations with finite linear part
type: Item
instance of: scholarly article
zbMATH Open document ID: 0994.39006
publication date: 2002-04-25T00:00:00Z
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 1693369
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: bounded solution
zbMATH Keywords: nonlinear Volterra difference equation
zbMATH Keywords: stability
zbMATH Keywords: asymptotics
author: Rigoberto Medina
MaRDI profile type: Publication
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title: Asymptotic behavior of solutions of Volterra difference equations with finite linear part
published in: Nonlinear Studies
review text: For the solutions of the nonlinear Volterra difference equation NEWLINE\[NEWLINE\Delta x_n+ \sum^N_{m=0} a_{nm}x_{n-m} +f(n,x_{n_0}, \dots,x_n),\;n\geq n_0,NEWLINE\]NEWLINE with prescribed initial values \(x_{n_0-N}, \dots,x_{n_0}\) and \(f(n,0, \dots,0)=0\) boundedness and stability properties as well as asymptotic formulas are established.
reviewed by: Lothar Berg
description: scientific article; zbMATH DE number 1693369