The general solution of a quadratic functional equation and Ulam stability

被引：4

作者：

Lan, Yaoyao ^{[1
,2
]}

Shen, Yonghong ^{[3
]}

机构：

[1] Chongqing Univ, Coll Comp Sci, Chongqing 401331, Peoples R China

[2] Chongqing Univ Arts & Sci, Key Lab, Chongqing 402160, Peoples R China

[3] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期

基金：

中国国家自然科学基金;

关键词：

functional equation; Ulam stability; quadratic mapping; RASSIAS STABILITY;

D O I：

10.22436/jnsa.008.05.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the general solution of a new quadratic functional equation. We prove that a function admits, in appropriate conditions, a unique quadratic mapping satisfying the corresponding functional equation. Finally, we discuss the Ulam stability of that functional equation by using the directed method and fixed point method, respectively.

引用

页码：640 / 649

页数：10

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