方程f(x+y)=f(x)·f(y)解函数特性  

Functional Characteristics of Solution for the Equation f(x+y)=f(x)·f(y)

作　　者：潘杨友[1] 

机构地区：[1]池州师范专科学校数学系,安徽池州247000

出　　处：《淮北煤师院学报（自然科学版）》2003年第3期53-56,共4页Journal of Huaibei Teachers College(Natural Sciences Edition)

摘　　要：从一道高考题出发,运用了数学分析理论,较为深刻地揭示了方程f(x+y)=f(x)·f(y)解函数特性,导出了解函数f(x)的重要解析特征.This paper began with a question in college entrance examination.B as ed on the theory of mathematic analysis, it revealed the analytic functional cha racter of the equation-f(x+ y)=f(x)· f(y), and presented the important chara cter of analytic function f(x).

关 键 词：数学分析 解函数 局部有界 指数函数 唯一性 周期性 奇偶性 有界性 实变函数 

分 类 号：O174.1[理学—数学]