On the Hyers-Ulam stability of delay differential equations

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Georgian National Academy of Sciences

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias. By using a well known fixed point alternative on generalized complete metric spaces, we obtain some new stability criteria. Our results extend and improve the results described in literature since their proofs are based on fewer and weaker assumptions than the recent results dealing with this problem. Some illustrative examples are also given to compare these results and visualize the improvement.

Açıklama

Anahtar Kelimeler

Delay Differential Equations, Ulam Type Stability, Fixed Point Alternative, Fixed-Point Approach, Rassias Stability

Kaynak

Memoirs on Differential Equations and Mathematical Physics

WoS Q Değeri

N/A

Scopus Q Değeri

Q4

Cilt

85

Sayı

Künye

Öğrekçi, S., Başcı, Y., & Mısır, A. (2022). On the Hyers-Ulam Stability of Delay Differential Equations. Memoirs on Differential Equations and Mathematical Physics, 85.