| Autor: |
Mohammadi, Elham, Najati, Abbas, EL-Fassi, Iz-iddine |
| Zdroj: |
Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2024, Vol. 73 Issue 8, p2913-2919, 7p |
| Abstrakt: |
Let R be the set of real numbers and Y a Banach space. In this work, we study the Hyers-Ulam stability for the Abel functional equation f (x + y) = g (x y) + h (x - y) , x , y ∈ R where f , g , h : R → Y are unknown functions. The perturbation of above equation in the restricted domains are also proved. As a direct consequence we obtain asymptotic behaviors of the proposed equation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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