Ulam stability problem for generalized A-quadratic mappings

被引：8
|
作者：
Jun, KW [1 ]
Kim, HM [1 ]
机构：
[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 305卷 / 02期
关键词：
functional equation; stability; quadratic mapping;
D O I：
10.1016/j.jmaa.2004.10.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is the purpose of this paper to investigate the stability problem of Ulam for an approximate mapping for the following generalized quadratic functional equation: Sigma(n)(i=1)Q(Sigma(j not equal 1)x(j) - (n - 1)x(i)) + nQ (Sigma(n)(i=1)x(i)) = n(2) Sigma(n)(i=1)Q(X-i) for all x(i) (i = 1,..., n), where n > 1. (c) 2004 Elsevier Inc. All rights reserved.
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页码：466 / 476
页数：11
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