On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces

被引：41

作者：

Jun, Kil-Woung ^{[1
]}

Kim, Hark-Mahn ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 02期

关键词：

Hyers-Ulam-Rassias stability; functional inequality; cubic mapping; quasi-Banach spaces; p-Banach spaces;

D O I：

10.1016/j.jmaa.2006.11.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we solve the generalized Hyers-Ulam-Rassias stability problem for Euler-Lagrange type cubic functional equations f(ax + y) + f (x + ay) = (a + 1)(a - 1)(2)[f(x) + f(y)] + a(a + 1)f (x + y) for mappings f : X -> Y in quasi-Banach spaces and for fixed integers a with a not equal 0, +/- 1. In addition, we also present a counterexample that does not satisfy the stability based on Ulam's question. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：1335 / 1350

页数：16

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