A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations

被引：6
|
作者：
Lee, Yang-Hi [1 ]
Jung, Soon-Mo [2 ]
机构：
[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea
[2] Hongik Univ, Coll Sci & Technol, Math Sect, Sejong 339701, South Korea
来源：
JOURNAL OF FUNCTION SPACES | 2015年 / 2015卷
基金：
新加坡国家研究基金会;
关键词：
D O I：
10.1155/2015/643969
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations. This uniqueness theorem can replace the repeated proofs for uniqueness of the relevant solutions of given equations while we investigate the stability of functional equations.
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页数：8
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