Add to ORKGz fx fy fz fx y fy z fz x 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. Copyright q 2008 Young-Su Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
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AbstractMaking use of heat kernel, we prove stabilities of the Jensen and Jensen–Pexider equations i...
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Abstract Making use of the pullbacks, we reformulate the following quadratic functional equation: ...
AbstractMaking use of the fundamental solution of the heat equation we find the solution and prove t...
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Using the fixed point method, we prove the Hyers-Ulam stability of the following quadratic functiona...
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AbstractMaking use of heat kernel, we prove stabilities of the Jensen and Jensen–Pexider equations i...
In this paper, we study to solve the Hyers − Ulam − Rassias stability of functional equation derivin...