On the stability problem for a mixed type of quartic and quadratic functional equation

被引：53

作者：

Kim, Hark-Mahn ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 01期

关键词：

stability; functional equation; quartic mappings;

D O I：

10.1016/j.jmaa.2005.11.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E1 and E2 be real linear spaces. In this paper, we determine the general solution for a mixed type functional equation of, a quartic and a quadratic mapping f : E-1 -> E-2, [GRAPHICS] for all n-variables x(1),..., x(n) is an element of E-1, where n > 2. In addition we solve the generalized Hyers-Ulam-Rassias stability problem for the functional equation. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：358 / 372

页数：15

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