Cesàro summability in a linear autonomous difference equation

Research output: Contribution to journalArticle

5 Citations (Scopus)


For a linear autonomous difference equation with a unique real eigenvalue λ0, it is shown that for every solution x the ratio of x and the eigensolution corresponding to λ0 is Cesàro summable to a limit which can be expressed in terms of the initial data. As a consequence, for most solutions the Lyapunov characteristic exponent is equal to λ0. The proof is based on a Tauberian theorem for the Laplace transform.

Original languageEnglish
Pages (from-to)3333-3339
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number11
Publication statusPublished - Nov 1 2005


  • Cesàro summability
  • Difference equation
  • Laplace transform
  • Lyapunov exponent
  • Tauberian theorems

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Cesàro summability in a linear autonomous difference equation'. Together they form a unique fingerprint.

  • Cite this