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Dergiler / Gazi University Journal of Science / 2019 / Cilt: 32 - Sayı: 4

Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

Adil MISIR
Süleyman ÖĞREKÇİ
Yasemin BAŞCI
Sayfa
1238–1252
Yayın Tarihi
2022-10-19
DOI
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This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli’s, Riccati and Abel with given initial condition.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli’s, Riccati and Abel with given initial condition.
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Temel Bulgular & Veri:This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli’s, Riccati and Abel with given initial condition.
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Sonuç & Katkı:This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli’s, Riccati and Abel with given initial condition.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli’s, Riccati and Abel with given initial condition.

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Bu Makaleye Atıf Yap

MISIR, A., ÖĞREKÇİ, S., BAŞCI, Y. (2022). Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations. Gazi University Journal of Science, Cilt: 32 - Sayı: 4, 1238–1252. https://ajindex.com/articles/521322

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Kaynakça (16)

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  9. Miura, T., Takahasi, S.E., Choda, H., “On the Hyers-Ulam stability of real continuous function valued differentiable map”, Tokyo Journal of Mathematics, 24: 467-476, (2001)
  10. Takahasi, S.E., Miura, T., Miyajima, S., “On the Hyers-Ulam stability of the Banach space-valued differential equation 𝑦′ = 𝜆𝑦”, Bulletin of Korean Mathematical Society, 39: 309-315, (2002)
  11. Miura, T., Jung, S.M., Takahasi, S.E., “Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations 𝑦′ = 𝜆𝑦”, Journal of the Korean Mathematical Society, 41: 995-1005, (2004)
  12. Jung, S.M., “Hyers-Ulam stability of linear differential equations of first order”, Applied Mathematics Letters, 17(10): 1135-1140, (2004)
  13. Jung, S.M., “Hyers-Ulam stability of linear differential equations of first order II”, Applied Mathematics Letters, 19(9): 854-858, (2006)
  14. Miura, T., Miyajima, S., Takahasi, S.E., “A characterization of Hyers-Ulam stability of first order linear differential operators”, Journal of Mathematical Analysis Applications, 286: 136-146, (2003)
  15. Takahasi, S.E., Takagi, H., Miura, T., Miyajima, S.,“The Hyers-Ulam stability constants of first order linear differential operators”, Journal of Mathematical Analysis Applications, 296: 403-409, (2004)
  16. Jung, S.M.,