Solutions of Pexiderized functional equation on restricted domain]{Solutions of Pexiderized functional equation on restricted domain
Keywords:
Biadditive functional equation, Derivation, additive functional equation, Pexider functional equation, Quadratic functional equationAbstract
The aim of this paper is to investigate the solution of a system of Pexider functional equations
\begin{equation}
\left\{
\begin{aligned}
&f_1(x+z)+f_2(x-z)=f_3(x)+f_4(z)\nonumber\\
&P_1=0\nonumber\\
&P_2=0\nonumber
\end{aligned}
\right.
\end{equation}
where $f_j$'s, $1\leq j\leq 4$, are real valued functions and $P_1$, $P_2$ are conditional equations on $\mathbb{R}$.
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