Stability of Quartic Functional Equations in the Spaces of Generalized Functions

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 hyperfunc...

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Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2009-03-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2009/838347
Description
Summary: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.
ISSN:1687-1839
1687-1847