数学物理学报 ›› 2016, Vol. 36 ›› Issue (4): 690-702.

• 论文 • 上一篇    下一篇

一类Dhombres型函数方程的连续通解

陈凯   

  1. 四川工商学院云计算与智能信息处理重点实验室 成都 611745
  • 收稿日期:2015-10-24 修回日期:2016-04-03 出版日期:2016-08-26 发布日期:2016-08-26
  • 作者简介:陈凯,13709047269@163.com
  • 基金资助:

    四川省教育厅科研项目(15ZBO458,15ZBO459,16ZBO498)

General Continuous Solutions of a Dhombres Type Functional Equation

Chen Kai   

  1. Key Lab of Cloud Computing and Intelligent Information Processing, Sichuan Technology and Business University, Chengdu 611745
  • Received:2015-10-24 Revised:2016-04-03 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Supported by the Science Foundation of Eudcation Department of Sichuan Province(15ZBO458,15ZBO459,16ZBO498)

摘要:

该文研究了一类推广的Dhombrs型函数方程,得到了这个方程的连续通解,并且部分回答了Kahlig P,Matkowska A,Matkowski J等人在1996年提出的一个公开问题.

关键词: Dhombres型函数方程, 连续通解

Abstract:

In this paper, we consider the real continuous solutions of functional equation f(x[f(x)]p)=(f(x))r, where p, r∈R. We get the general continuous solutions of the equation, and answer an open problem proposed in 1996 by Kahlig P, Matkowska A and Matkowski J partly.

Key words: Dhombres Type Functional Equation, Continuous Solutions

中图分类号: 

  • O175.7