On the stability of a mixed type functional equation in generalized functions

被引：4

作者：

Lee, Young-Su ^{[1
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121741, South Korea

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

quadratic functional equation; additive functional equation; stability; heat kernel; Gauss transform;

D O I：

10.1186/1687-1847-2012-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We reformulate the following mixed type quadratic and additive functional equation with n-independent variables as the equation for the spaces of generalized functions. Using the fundamental solution of the heat equation, we solve the general solution and prove the Hyers-Ulam stability of this equation in the spaces of tempered distributions and Fourier hyperfunctions. Mathematics Subject Classification 2000: 39B82; 39B52.

引用

页码：1 / 11

页数：11

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