Solution and Stability of the Multiquadratic Functional Equation

被引:37
|
作者
Zhao, Xiaopeng [1 ,2 ]
Yang, Xiuzhong [3 ,4 ]
Pang, Chin-Tzong [5 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[3] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Peoples R China
[4] Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050024, Peoples R China
[5] Yuan Ze Univ, Dept Informat Management, Chungli 32003, Taiwan
关键词
MULTI-QUADRATIC MAPPINGS; ULAM-RASSIAS STABILITY; NORMED SPACES; BANACH-SPACES;
D O I
10.1155/2013/415053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.
引用
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页数:8
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