(R2066) New Results of Ulam Stabilities of Functional Differential Equations of First Order Including Multiple Retardations

Authors

Merve Şengün, Van Yuzuncu Yil University
Cemil Tunç, Van Yuzuncu Yil University

Abstract

In this study, we pay attention to a functional differential equation (FDE) of first order including N-variable delays. We construct new sufficient conditions in relation to the Hyers-Ulam stability (HUS) and the generalized Hyers-Ulam-Rassias stability (GHURS ) of the FDE of first order including N-variable delays. By using Banach contraction principle (BCP), Picard operator and Gronwall lemma, we confirm two new theorems in relation to the HUS and the GHURS. The results of this study are new and extend, improve some earlier results of the HUS and the GHURS.

Recommended Citation

Şengün, Merve and Tunç, Cemil (2023). (R2066) New Results of Ulam Stabilities of Functional Differential Equations of First Order Including Multiple Retardations, Applications and Applied Mathematics: An International Journal (AAM), Vol. 18, Iss. 2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol18/iss2/4