THE STABILITY ANALYSIS OF THE SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS

Şevgin S., Abdullah J. A., Abdulazeez S. T.

Journal of Mathematical Analysis, vol.15, no.1, pp.28-39, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.54379/jma-2024-1-3
  • Journal Name: Journal of Mathematical Analysis
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.28-39
  • Keywords: fixed-point method, system of integrodifferential equations, Ulam-Hyers-Rassias stability
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this study, we use the fixed-point theorem of Margolis and Diaz to investigate the Ulam-Hyers-Rassias stability of a linear system of Volterra integrodifferential equations. We also extended this finding to a n-th order linear Volterra integrodifferential problem. In addition, we present examples to highlight the relevance of our findings. The discovered conclusions are theoretically significant and have possible applications in a variety of mathematical and scientific domains.