Nearly Quadratic Mappings over p-Adic Fields

被引：0
作者：
Gordji, M. Eshaghi [2 ]
Khodaei, H. [2 ]
Kim, Gwang Hui [1 ]
机构：
[1] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
[2] Semnan Univ, Dept Math, Semnan, Iran
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
新加坡国家研究基金会;
关键词：
ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION; HOMOMORPHISMS;
D O I：
10.1155/2012/285807
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some stability results over p-adic fields for the generalized quadratic functional equation Sigma(n)(k=2)Sigma(k)(i1=2)Sigma(k+1)(i2=i+1) ... Sigma(in-k+1=in-k)+1(n)f(Sigma(n)(i=1,i not equal i1,...,in-k+1) x(i) - Sigma(n-k+1)(r=1)x(ir)) + f(Sigma(n)(i=1)x(i)) = 2(n-1)Sigma(n)(i=1)f(x(i)), where n is an element of N and n >= 2.
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页数：12
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