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Stability of Quartic Functional Equations in the Spaces of Generalized Functions

DOI: 10.1155/2009/838347

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Abstract:

We consider the general solution of quartic functional equations and prove the Hyers-Ulam-Rassias stability. Moreover, using the pullbacks and the heat kernels we reformulate and prove the stability results of quartic functional equations in the spaces of tempered distributions and Fourier hyperfunctions.

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