Cauchy算子方程的Hyers-Ulam-Rassias稳定性的推广(英文)  

On the Generalizations of the Hyers-Ulam-Rassias Stability of Cauchy Equations

作　　者：王建[1] 

机构地区：[1]南京大学数学系

出　　处：《应用泛函分析学报》2002年第4期294-300,共7页Acta Analysis Functionalis Applicata

基　　金：Supported by NSFC(10171014);Doctoral Programme Foundation of Institution of Higher Education and the Foundational of Fujian Educational Committee(JA02166)

摘　　要：研究从幂结合广群到实的或复的赋准范空间的Cauchy算子方程的Hyers-Ulam-Rassias稳定性.In this paper, the author deliberates the Hyers-Ulam-Rassias stability problems of Cauchy equations from a power-associative groupoid into a real or complex F -space.

关 键 词：Cauchy算子方程 HYERS-ULAM-RASSIAS稳定性 逼近余 

分 类 号：O177.92[理学—数学]