Asymptotic periodicity of nonlinear discrete Volterra equations and applications

Angelamaria Cardone*, Ida Del Prete, Hermann BRUNNER

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

7 Citations (Scopus)


Sufficient conditions for the asymptotic periodicity of solutions of nonlinear discrete Volterra equations of Hammerstein type are obtained. Such results are applied to analyze the property of a class of numerical methods to preserve the asymptotic periodicity of the analytical solution of Volterra integral equations.

Original languageEnglish
Pages (from-to)1531-1543
Number of pages13
JournalJournal of Difference Equations and Applications
Issue number9
Publication statusPublished - Sept 2012

Scopus Subject Areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

User-Defined Keywords

  • θ-methods
  • asymptotically periodic solutions
  • discrete Volterra equations
  • Volterra integral equations


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