General Solution of A Quadratic Functional Equation and Its Hyers-Ulam Stability

被引：0
|
作者：
Chen, Rongjiang [1 ]
Cao, Jianbing [1 ]
机构：
[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Henan, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
Solution; Hyers-Ulam Stability; quadratic functional equation;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we investigate the relation between two different quadratic functional equations, and establish the general solution of a new quadratic functional equation. Furthermore, the generalized Hyers-Ulam stability of this new quadratic functional equation in Banach space is proved in the spirit of Gavruta, thus we find the condition that there exists a true quadratic function near an approximately quadratic function.
引用
收藏
页码：571 / 575
页数：5
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