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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
Journal of Inequalities and Applications volume 2008, Article number: 210615 (2008)
Abstract
Making use of the pullbacks, we reformulate the following quadratic functional equation: 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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Lee, YS. Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions. J Inequal Appl 2008, 210615 (2008). https://doi.org/10.1155/2008/210615
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DOI: https://doi.org/10.1155/2008/210615