一类推广的 Dhombres 方程的实连续解

Real continuous solutions of a class of generalized Dhombres equations

摘要:

本文研究一类推广的 Dhombres 方程的实连续解问题. 基于函数方程的迭代理论, 多项式型迭代函数方程的特征理论和降次技术，本文给出了该方程的所有实连续解.

Abstract:

In this paper, we consider the real continuous solutions of a class of generalized Dhombres equations. By using the iterative theory of functional equations, characteristic theory of polynomial-like iterative equations and a technique of reducing order, we give all real continuous solutions of these equations.