| 广义函数空间上Wilson型函数方程的稳定性 |
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| 引用本文： | 李林松,崔丽英. 广义函数空间上Wilson型函数方程的稳定性[J]. 吉林大学学报(理学版), 2012, 50(3): 425-432 |
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| 作者姓名： | 李林松 崔丽英 |
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| 作者单位： | 延边大学 理学院数学系, 吉林 延吉 133002 |
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| 基金项目： | 教育部回国留学人员科研启动基金 |
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| 摘 要： | 利用热方程的核, 通过广义函数正则化的方法给出Wilson函数方程在广义函数空间(包括缓增广义函数空间、 傅里叶超函数空间和Gelfand-Shilov广义函数空间)上的Hyers-Ulam稳定性, 并证明了在广义函数空间上Wilson函数方程的稳定性具有与一般函数空间上类似的结果.
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| 关 键 词： | Wilson函数方程； 广义函数； 热方程的核； Hyers Ulam稳定性 |
| 收稿时间： | 2011-07-28 |
Stability of Wilson Functional Equation in the Spaces of Generalized Functions |
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| LI Lin-song , CUI Li-ying. Stability of Wilson Functional Equation in the Spaces of Generalized Functions[J]. Journal of Jilin University: Sci Ed, 2012, 50(3): 425-432 |
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| Authors: | LI Lin-song CUI Li-ying |
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| Affiliation: | Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | By means of heat kernel and the approach of regularizing generalized functions,Hyers-Ulam stability of Wilson functional equation was mainly studied in the spaces of generalized functions such as the Schwartz tempered distributions,Fourier hyperfunctions and Gelfand-shilov generalized functions,showing that the result of the stability of Wilson functional equation in generalized functions is similar to that in the usual functional spaces. |
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| Keywords: | Wilson functional equation generalized functions heat kernel Hyers-Ulam stability |
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