The Stability of Bi-Drygas Functional Equation
In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned} &f(x+y,z)+f(x-y,z)=2f(x,z)+f(y,z)+f(-y,-z)\nonumber\\ &f(x,y+z)+f(x, y-z)=2f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all $x,y,z\in...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709134_719b85487a03e0b151d957c2f9ceefd5.pdf |
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| Summary: | In this paper, we introduce and solve a system of bi-Drygas functional equations \begin{equation}\left\{\begin{aligned} &f(x+y,z)+f(x-y,z)=2f(x,z)+f(y,z)+f(-y,-z)\nonumber\\ &f(x,y+z)+f(x, y-z)=2f(x,y)+f(x,z)+f(-x,-z)\nonumber\end{aligned}\right.\end{equation}for all $x,y,z\in X$. We will also investigate the Hyers-Ulam stability of the system of bi-Drygas functional equations. |
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| ISSN: | 2322-5807 2423-3900 |