On the Stability of a Mixed Functional Equation Deriving from Additive, Quadratic and Cubic Mappings  

作　　者：Li Guang WANG Kun Peng XU Qiu Wen LIU 

机构地区：[1]School of Mathematical Sciences, Qufu Normal University [2]Zaozhuang Economics School

出　　处：《Acta Mathematica Sinica,English Series》2014年第6期1033-1049,共17页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11371222);Natural Science Foundation of Shandong Province(Grant No.ZR2012AM024);China Scholarship Council

摘　　要：In this paper, we investigate the general solution and the Hyers–Ulam stability of the following mixed functional equation f（2x ＋ y） ＋ f（2x- y） = 2f（2x） ＋ 2f（x ＋ y） ＋ 2f（x- y）- 4f（x）- f（y）- f（-y）deriving from additive, quadratic and cubic mappings on Banach spaces.In this paper, we investigate the general solution and the Hyers–Ulam stability of the following mixed functional equation f（2x ＋ y） ＋ f（2x- y） = 2f（2x） ＋ 2f（x ＋ y） ＋ 2f（x- y）- 4f（x）- f（y）- f（-y）deriving from additive, quadratic and cubic mappings on Banach spaces.

关 键 词：Additive mapping quadratic mapping cubic mapping Hyers–Ulam stability 

分 类 号：O175[理学—数学]