Lp-solutions and stability analysis of difference equations using the Kummer's test

I. Gyri, L. Horváth

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We address the p-summability and asymptotic stability properties in nonautonomous linear difference equations. We focus our discussion on two kind of difference equations. The first one is a first order system of linear nonautonomous difference equations, and our discussion involves the use of Kummer's convergence test. The second one is a linear nonautonomous scalar higher order difference equation. In this case our discussion is based on a recently introduced transformation of a higher order system into a first-step recursion, where the companion matrices are well treatable from our point of view. We give insight on our ideas that are behind our methods, prove new results, and show applications.

Original languageEnglish
Pages (from-to)10129-10145
Number of pages17
JournalApplied Mathematics and Computation
Volume217
Issue number24
DOIs
Publication statusPublished - Aug 15 2011

Keywords

  • Companion matrix
  • Difference equations
  • Stability
  • l Solutions

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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