ON THE ULAM TYPE STABILITIES OF A GENERAL ITERATIVE INTEGRO-DIFFERENTIAL EQUATION INCLUDING A VARIABLE DELAY

Tunç O., Sahu D., Tunç C.

Journal of Nonlinear and Convex Analysis, cilt.25, sa.2, ss.399-417, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2024
  • Dergi Adı: Journal of Nonlinear and Convex Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.399-417
  • Anahtar Kelimeler: BFPT, existence, HURS, HUS, IIDDEs, Solution, uniqueness
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This work is interested in the existence and uniqueness of solutions, the Hyers-Ulam stability (HUS) and the Hyers-Ulam-Rassias stability (HURS) of a new and general iterative integro-delay differential equation (IIDDE) of first order including a variable delay. We prove the results regarding the HUS and the HURS of the considered problem on a bounded interval, half infinite intervals and an inhnite interval using the Banach fixed point theorem (BFPT). The outcomes of this research work arc new and they allow new enhancements to the existence theory, the HUS and HURS of the nonlinear IIDDEs of first order including a variable delay.