关于广义Pexider方程解的注记

许多领域的研究离不开函数方程,特别在动力系统和嵌入流中十分重要,函数方程有各种形式,对他们的求解是复杂的,有时甚至是相当困难的。文章首先研究了两类广义Pexider函数方程,对其中一类我们用换元法将其转化为已有的Pexider对数方程,从而求得其一般解,对另一类我们采用将方程两端先微分使其转化为微分方程,然后求解微分方程,从而获得了它的二次可微解.

Some Notes on the Solutions of Generalized Pexider Functional Equations

Research of many fields is inseparable from the functional equations. In particular, it is very important in the power system and embedded flow. Since functional equations have a variety of forms, it is complex to find its solutions. Sometimes, it is even very difficult to find a solution. In this paper, we study two classes of generalized Pexider functional equation to obtain its general solutions and use the methods of differential and integration to get the second order differentiable solution.