[PDF][PDF] The Stability of Bi-Drygas Functional Equation
M Dehghanian, S Izadi… - … in Mathematical Analysis, 2024 - scma.maragheh.ac.ir
M Dehghanian, S Izadi, Y Sayyari
Sahand Communications in Mathematical Analysis, 2024•scma.maragheh.ac.irIn this paper, we introduce and solve a system of bi-Drygas functional equations\begin
{equation}\left\{\begin {aligned} &f (x+ y, z)+ f (xy, z)= 2f (x, z)+ f (y, z)+ f (-y,-z)\nonumber\\&f
(x, y+ z)+ f (x, yz)= 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.
{equation}\left\{\begin {aligned} &f (x+ y, z)+ f (xy, z)= 2f (x, z)+ f (y, z)+ f (-y,-z)\nonumber\\&f
(x, y+ z)+ f (x, yz)= 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.
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 . We will also investigate the Hyers-Ulam stability of the system of bi-Drygas functional equations.
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