安徽大学学报（自然科学版）2016，Vol.40Issue(4)：6-11,6.DOI:10.3969/j.issn.1000-2162.2016.04.002
Eule r-Lag range 型三次泛函方程的稳定性问题
Stability of the Euler-Lagrange type cubic functional equation
摘要
Abstract
Firstly ,the new Euler‐Lagrange type cubic functional equation f (x+ y -2z)+f(y+ z -2x)+ f(z+ x -2y)+ 6f (x+ y+ z)= 9[f (x+ y)+ f (y+ z)+ f (z + x)] -18[f(x)+ f(y)+ f(z)] in Banach spaces was investigated .Secondly ,equivalence of six functional equations was discussed . Lastly , by using the fixed pointed alternative , the general solution to the above functional equation was given and the stability of cubic functional equation was proved .关键词
广义 Hyers-Ulam-Rassias稳定性/不动点的择一性/三次泛函方程Key words
generalized Hyers-Ulam-Rassias stability/fixed pointed alternative/cubic functional equation分类
数理科学引用本文复制引用
成立花..Eule r-Lag range 型三次泛函方程的稳定性问题[J].安徽大学学报（自然科学版）,2016,40(4):6-11,6.基金项目
国家自然科学基金资助项目（11101323）；陕西省科技厅自然科学基金资助项目 （）
