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

页码：571 / 575

页数：5

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