Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (4): 690-702.

Previous Articles     Next Articles

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)

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

CLC Number: 

  • O175.7
Trendmd