A new view of the lp-theory for a system of higher order difference equations

I. Gyori, L. Horváth

Research output: Contribution to journalArticle

8 Citations (Scopus)


It is proved under appropriate assumptions that the solutions of a linear system of higher order difference equations belong to lp, that is the pth powers of the solutions are summable for some p ≥ 1. Our results are based on a new transformation of the higher order system into a first-step recursion, where the companion matrices are well treatable from our point of view. Our theory is illustrated by examples, including an interesting exponential stability result and a class of linear delay difference equations.

Original languageEnglish
Pages (from-to)2918-2932
Number of pages15
JournalComputers and Mathematics with Applications
Issue number8
Publication statusPublished - Apr 1 2010


  • Companion matrix
  • Difference equations
  • l solutions

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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