非线性冗余函数方程组的展开式解

Expansion Solutions of Nonlinear Redundant Functional Equation Systems

本文讨论了常量函数不一定相同的二元非线性冗余函数方程组的展开式解，其中针对未知函数的４种不同的位置分别进行了求解，得到了二元三次冗余函数方程组的展开式解，并给出了实例。

This paper discusses the expansion solutions of two nonlinear redundant functional equation systems whose constant functions may be not identical. Some expansion theorems are proved under the various positions of unknown functions. The solutions of two nonlinear cubic redundant functional equation systems are illustrated. Some examples are presented.