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一类源自二次和三次映射的混合泛函方程的模糊稳定性

Fuzzy Stability of a Functional Equation Deriving from Quadratic and Cubic Functions
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摘要 研究了泛函方程2f(2x+y)+2f(2x-y)=4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y)在模糊Banach空间中的Hyers-Ulam稳定性. In this paper,we investigate the Hyers-Ulam stability of the following functional equation 2f(2x + y) + 2f(2x - y) = 4f(x + y) + 4f(x - y) + 4f(2x) + f(2y) - 8f(x) - 8f(y) in fuzzy Banach spaces.
作者 王利广 刘博 孙宗娟
机构地区 曲阜师范大学数学科学学院
出处 《应用泛函分析学报》 CSCD 2013年第2期97-108,共12页 Acta Analysis Functionalis Applicata
基金 山东省自然科学基金(ZR2012AM024)
关键词 HYERS-ULAM稳定性 二次映射 三次映射 模糊Banach空间 Hyers-Ulam stability quadratic mapping cubic mapping fuzzy Banach spaces
分类号 O1777 [理学—基础数学]
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参考文献16

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应用泛函分析学报
2013年 第2期

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