Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions

被引：0

作者：

Young-Su Lee

机构：

[1] Korea Advanced Institute of Science and Technology,Department of Mathematical Sciences

来源：

Journal of Inequalities and Applications | / 2008卷

关键词：

Generalize Function; Functional Equation; Full Article; Publisher Note; Quadratic Functional Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Making use of the pullbacks, we reformulate the following quadratic functional equation: [inline-graphic not available: see fulltext] in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam stability of this equation in the spaces of generalized functions such as tempered distributions and Fourier hyperfunctions.

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