On the Hyers-Ulam stability of delay differential equations
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Dosyalar
Tarih
2022
Yazarlar
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.