几类函数方程问题的证明

Proof on Several Classes of Functional Equation Problems

函数方程广泛出现在数学学科的各分支中以及计算机科学等领域,本文通过举出若干函数方程的例子,给出有关函数方程问题的证明方法,强调极限与连续性在高等数学解题中的应用.

Functional equation appears widely in the various branches of mathematics and computer sciences.By giving several examples,the proof methods of some functional equation problems was showed,the applications of limit and continuity in solving problems of advanced mathematics were emphasized.