Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

M. Annunziato*, Hermann BRUNNER, E. Messina

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

Original languageEnglish
Pages (from-to)766-775
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Volume395
Issue number2
DOIs
Publication statusPublished - 15 Nov 2012

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Asymptotic behavior
  • Numerical methods
  • Renewal equation
  • Space map
  • Volterra integral equation

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