二元混合六次函数方程的Ulam稳定性  

Ulam stability of binary mix-sextic functional equation

作　　者：宋爱民[1] 

机构地区：[1]甘肃民族师范学院数学系,甘肃甘南747000

出　　处：《兰州理工大学学报》2016年第2期158-161,共4页Journal of Lanzhou University of Technology

基　　金：甘肃民族师范学院院长基金(12-20)的资助

摘　　要：给出二元混合六次函数方程的定义,并通过对二次函数方程及四次函数方程的一般解的研究,得到二元混合六次函数方程的一般解并证明其在Banach空间上的Hyers-Ulam-Rassias稳定性,同时,进一步讨论二元混合六次函数方程的超稳定性,得到其超稳定性的一个结论.The definition of the binary mix-sextic functional equation is given,the general solution of this functional equation is obtained by studying the general solutions of quadratic and quartic functional equation and its Hyers-Ulam-Rassias stability in Banach space is proved.Meanwhile,the hyperstability of the binary mix-sextic functional equation is further discussed and a conclusion is obtained that it is hyperstable.

关 键 词：二元混合六次函数方程 HYERS-ULAM-RASSIAS稳定性 BANACH空间 

分 类 号：O177.5[理学—数学]