几类函数方程解的探讨

Study to solutions of several type of functional equations

研究了函数方程的求解及其解的性质 用分析方法和置换法,给出了函数方程f(x+y)=αf(ax)+βf(by)与f(ax+by)=αf(x)+βf(y)等八类函数方程的解.

In this paper,we give solutions of eight type of functional equations including-f(x+y)=αf(ax)+βf(by) andf(ax+by)=αf(x)+βf(y) etc-.