On the stability analysis of Darboux problem on both bounded and unbounded domains

Çelik C., DEVELİ F.

Applications of Mathematics, cilt.69, sa.1, ss.139-150, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.21136/am.2023.0200-22
  • Dergi Adı: Applications of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Compendex, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.139-150
  • Anahtar Kelimeler: 34A12, 35L70, 47H10, Darboux problem, partial differential equation, Ulam-Hyers stability, Ulam-Hyers-Rassias stability, Wendorff lemma
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.