摘要
利用共轭法构造一类Dhombres型函数方程在参数p≠1和p=1两种不同值时的连续通解,比已有文献利用的迭代法和逐段定义法更加简洁.尤其p≠1是过去已有文献没有相关结果,用共轭法推广了前人的工作.
In this paper we construct the general continuous solutions of the Dhombres type functional equation, for p ≠ 1 and p = 1, by conjugation. Our method is easier than iteration and piecewise definition. Especially, there was no result about the general continuous solutions of the equation for p ≠ 1. We use conjugation to construct the general continuous solutions for p ≠ 1 and expand the results.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2015年第4期500-503,共4页
Journal of Sichuan Normal University（Natural Science）
基金
四川省教育厅科研创新团队基金(14TD0026)
关键词
Dhombres型函数方程
构造
共轭法
连续通解
Dhombres type functional equation
construct
conjugation
general continuous solutions
