Asymptotic constancy in linear difference equations: Limit formulae and sharp conditions

István Gyri, Lászl Horváth

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coefficient matrices, our conditions are also necessary. The novelty of our results is illustrated by examples.

Original languageEnglish
Article number789302
JournalAdvances in Difference Equations
Volume2010
DOIs
Publication statusPublished - Jul 20 2010

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Asymptotic constancy in linear difference equations: Limit formulae and sharp conditions'. Together they form a unique fingerprint.

  • Cite this