Stability of Functional Equations in Several Variables

作     者：Deng Hua ZHANG Huai Xin CAO 

作者机构：College of Mathematics and Information ScienceShaanxi Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第2期

页      面：321-326页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：partly supported by the National Natural Science Foundation of China(19771056) 

主　　题：stability functional equation, Jordan homomorphism, Lie homomorphism 

摘      要：We prove a generalization of Hyers＇ theorem on the stability of approximately additive mapping and a generalization of Badora＇s theorem on an approximate ring homomorphism. We also obtain a more general stability theorem, which gives the stability theorems on Jordan and Lie homomorphisms. The proofs of the theorems given in this paper follow essentially the D. H. Hyers-Th. M. Rassias approach to the stability of functional equations connected with S. M. Ulam＇s problem.