几类广义Pexider方程的通解

General Solutions of Several Types of Generalized Pexider Equations

研究广义Pexider可加函数方程、广义Pexider指数函数方程、广义Pexider对数函数方程和广义Pexider幂函数方程,利用赋值转化法并借助Cauchy方程的已有结果给出了这些方程的通解.

In this paper,we discuss several functional equations,which are generalized Pexider additive functional equations,generalized Pexider exponential functional equations,generalized Pexider logarithmic functional equations and generalized Pexider power functional equations.Using the known results of Cauchy function,we obtain general solutions of above functional equations by evaluation method,which means that one can reduce functions to a simple form.