THE STABILITY ANALYSIS OF THE SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS

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

Journal of Mathematical Analysis, cilt.15, sa.1, ss.28-39, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.54379/jma-2024-1-3
  • Dergi Adı: Journal of Mathematical Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.28-39
  • Anahtar Kelimeler: fixed-point method, system of integrodifferential equations, Ulam-Hyers-Rassias stability
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.