Ulam's type stability of impulsive delay integrodifferential equations in Banach spaces

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Abstract

In this paper, by applying Pachpatte's type integral inequality with integral impulses, we investigate Ulam-Hyers and Ulam-Hyers-Rassias stabilities for the impulsive Volterra delay integrodifferential equation Banach spaces. Suitable examples are given to support the obtained results.

Original languageEnglish
Pages (from-to)1311-1326
Number of pages16
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume24
Issue number4
DOIs
StatePublished - 1 Jun 2023

Keywords

  • impulsive integral inequality
  • impulsive integrodifferential equation
  • integral jump condition
  • Ulam-Hyers stability
  • Ulam-Hyers-Rassias stability

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