ON THE HYERS-ULAM STABILITY OF DELAY DIFFERENTIAL EQUATIONS

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Öğrekçi S., Başcı Y., Mısır A.

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, cilt.85, ss.133-142, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 85
  • Basım Tarihi: 2022
  • Dergi Adı: MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.133-142
  • Anahtar Kelimeler: Delay differential equations, Ulam type stability, fixed point alternative, FIXED-POINT APPROACH, RASSIAS STABILITY
  • Gazi Üniversitesi Adresli: Evet

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.