On the perturbation of Volterra integro-differential equations

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Jung S., Şevgin S., Şevli H.

Applied Mathematics Letters, vol.26, no.7, pp.665-669, 2013 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 26 Issue: 7
  • Publication Date: 2013
  • Doi Number: 10.1016/j.aml.2012.10.018
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.665-669
  • Keywords: Volterra integro-differential equation, Volterra integral equation of the second kind, Perturbation, Hyers-Ulam stability, Generalized Hyers-Ulam stability
  • Open Archive Collection: AVESIS Open Access Collection
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation. © 2013 Elsevier Ltd. All rights reserved.