Ulam stability problem for quadratic mappings of Euler-Lagrange

被引：12

作者：

Jun, KW ^{[1
]}

Kim, HM ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 07期

关键词：

Euler-Lagrange mapping; Hyers-Ulam stability; quadratic mapping;

D O I：

10.1016/j.na.2004.07.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to solve the stability problem of Ulam for an approximate mapping f : A -> B of the following quadratic functional equation of Euler-Lagrange (a + b)aQ(x) + (a + b)bQ(y) = Q(ax + by) + abQ(x - y) for all x, y is an element of A with A and B linear spaces. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1093 / 1104

页数：12

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