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