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