On the Stability Problem of Differential Equations in the Sense of Ulam

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Başcı Y., Mısır A., Öğrekçi S.

RESULTS IN MATHEMATICS, cilt.75, sa.1, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00025-019-1132-6
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Differential equations, stability theory, Hyers-Ulam-Rassias stability, fixed point theory, generalized metric spaces, RASSIAS STABILITY
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we consider the stability problem of a general class of differential equations in the sense of Hyers-Ulam and Hyers-Ulam-Rassias with the aid of a fixed point technique. We extend and improve the literature by dropping some assumptions of some well known and commonly cited results in this topic. Some illustrative examples are also given to visualize the improvement.