摘要
结合函数方程pf(x+y/p+z)=f(x)+f(y)+pf(z),研究了Banach 3-Lie代数上的同态、导子以及广义导子的广义Hyers-Ulam稳定性(其中p为固定正整数).
The generalized Hyers-Ulam stability of homomorphisms,derivations and generalized derivations on Banach 3-Lie algebras is studied associated with the following functional equation:pf(x+y/p+z)=f(x)+f(y)+pf(z),where p is a fixed positive integer.
作者
秦宇帆
林洁
姜敬敬
QIN Yu-fan;LIN Jie;JIANG Jing-jing(School of Science,Civil Aviation University of China,Tianjin 300300,China;Sino-European Institute of Aviation Engineering,Civil Aviation University of China,Tianjin 300300,China)
出处
《东北师大学报(自然科学版)》
CAS
北大核心
2021年第1期48-52,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11501564)
中央高校基本科研业务费资助项目(3122015L005).