Sharp algebraic periodicity conditions for linear higher order difference equations

I. Győri, László Horváth

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we give easily verifiable, but sharp (in most cases necessary and sufficient) algebraic conditions for the solutions of systems of higher order linear difference equations to be periodic. The main tool in our investigation is a transformation, recently introduced by the authors, which formulates a given higher order recursion as a first order difference equation in the phase space. The periodicity conditions are formulated in terms of the so-called companion matrices and the coefficients of the given higher order equation, as well.

Original languageEnglish
Pages (from-to)2262-2274
Number of pages13
JournalComputers and Mathematics with Applications
Volume64
Issue number7
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Higher order equation
Difference equations
Linear Order
Periodicity
Difference equation
Higher Order
Companion Matrix
Linear Difference Equation
Recursion
Phase Space
Sufficient
First-order
Necessary
Coefficient

Keywords

  • Companion matrix
  • Higher order difference equation
  • Periodic solution

ASJC Scopus subject areas

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

Cite this

Sharp algebraic periodicity conditions for linear higher order difference equations. / Győri, I.; Horváth, László.

In: Computers and Mathematics with Applications, Vol. 64, No. 7, 10.2012, p. 2262-2274.

Research output: Contribution to journalArticle

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