In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end{array}\right. and we investigate the stability of (homomorphism, derivation)-systems in Banach algebras.
在本研究中，我们求解的是加法函数方程组： h ( x + y ) = h ( x ) + h ( y ) , g ( x + y ) = f ( x ) + f ( y ) , 2 f x + y 2 = g ( x ) + g ( y ) 、 \h（x+y）=h（left（x）+h（y）,（g（left（x+y）=f（left（x）+f（y）,（2f（left（frac{x+y}{2}\right）=g（left（x）+g（y）,（end{array}\right. 并研究了巴拿赫代数中（同态、派生）系统的稳定性。
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