Asymptotic representation of the solutions of linear volterra difference equations

István Gyori, László Horváth

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

This article analyses the asymptotic behaviour of solutions of linear Volterra difference equations. Some sufficient conditions are presented under which the solutions to a general linear equation converge to limits, which are given by a limit formula. This result is then used to obtain the exact asymptotic representation of the solutions of a class of convolution scalar difference equations, which have real characteristic roots. We give examples showing the accuracy of our results.

Original languageEnglish
Article number932831
JournalAdvances in Difference Equations
Volume2008
DOIs
Publication statusPublished - Jul 11 2008

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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