Stability of a mixed additive and cubic functional equation in several variables in non-Archimedean spaces

被引：0
作者：
A. Ebadian
S. Zolfaghari
机构：
[1] Department of Mathematics, Payame Noor University, Tehran
[2] Department of Mathematics, Urmia University, Urmia
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2012年 / 58卷 / 2期
关键词：
Additive function; Cubic function; Hyers-Ulam-Rassias stability; Mixed functional equation; Non-Archimedean space; p-adic field;
D O I：
10.1007/s11565-012-0152-x
中图分类号：
学科分类号：
摘要：
Consider the functional equation 1(f) = 2 (f) in a certain general setting. A function g is an approximate solution of, if 1 (g) and 2 (g) and are close in some sense. The Ulam stability problem asks whether or not there is a true solution o, near g. In this paper, we achieve the general solution and the stability of the following functional equation, for all x i (i = 1,2, . . ., n), in non-Archimedean spaces. © 2012 Università degli Studi di Ferrara.
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页码：291 / 306
页数：15
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