| Distributional Methods for a Class of Functional Equations and Their Stabilities |
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| 作者姓名： | Jae Young CHUNG |
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| 作者单位： | Department of Mathematics, Kunsan National University, Kunsan 573 701, South Korea |
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| 基金项目： | This work was supported by the Korean Research Foundation Grant funded by the Korean Government （M0EHRD, Basic Research Promotion Fund） （KRF-2005-015-C00026） |
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| 摘 要： |
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| 关 键 词： | Pompeiu方程 Pexider方程 稳定性 偏微分方程 |
| 修稿时间： | 2005-10-28 |
Distributional Methods for a Class of Functional Equations
and Their Stabilities |
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| Jae Young CHUNG.Distributional Methods for a Class of Functional Equations and Their Stabilities[J].Acta Mathematica Sinica,2007,23(11):2017-2026. |
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| Authors: | Jae Young Chung |
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| Institution: | (1) Department of Mathematics, Kunsan National University, Kunsan, 573–701, South Korea |
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| Abstract: | We consider a class of n-dimensional Pompeiu equations and that of Pexider equations and their Hyers Ulam stability problems in the spaces of Schwartz distributions. First, reducing the given distribution version of functional equations to differential equations we find their solutions. Secondly, using approximate identities we prove the Hyers Ulam stability of the equations. |
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| Keywords: | Pompeiu equations Pexider equations distributions Hyers Ulam stability |
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