非Archimedean随机空间中混合型泛函方程的解及稳定性

张石生; R·萨达提; G·萨德基

doi:10.3879/j.issn.1000-0887.2011.05.012

非Archimedean随机空间中混合型泛函方程的解及稳定性

doi: 10.3879/j.issn.1000-0887.2011.05.012

1.
宜宾学院数学系, 四川宜宾 644007;2.伊斯兰阿萨德大学数学系, 科学研究所, 14778, 阿史拉非尔斯法哈尼大道,德黑兰, 伊朗

详细信息

作者简介:
张石生(1934-),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);R. Saadati,教授,博士(联系人.E-mail:rsaadati@eml.cc).

中图分类号: O177.91
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出版历程
- 收稿日期: 2011-01-11
- 修回日期: 2011-03-14
- 刊出日期: 2011-05-15

Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces

1.
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

摘要

摘要: 在非-Archimedean 随机赋范空间的框架下,证明了Euler-Lagrange二次映象的广义稳定性．另外，文中还介绍了随机空间理论、非-Archimedean 空间理论、以及泛函方程理论之间的联系．
- 广义Hyers-Ulam稳定性 /
- Euler-Lagrange泛函方程 /
- 非-Archimedean 赋范空间 /
- p-adic域
Abstract: The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces was proved. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces and the theory of functional equations were also presented.
- generalized Hyers-Ulam stability /
- Euler-Lagrange functional equation /
- non-Archimedean normed space /
- p-adic field

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参考文献(31)

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非Archimedean随机空间中混合型泛函方程的解及稳定性

doi: 10.3879/j.issn.1000-0887.2011.05.012

作者简介:
张石生(1934-),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);R. Saadati,教授,博士(联系人.E-mail:rsaadati@eml.cc).

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Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces

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非Archimedean随机空间中混合型泛函方程的解及稳定性

doi: 10.3879/j.issn.1000-0887.2011.05.012

作者简介: 张石生(1934-),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);R. Saadati,教授,博士(联系人.E-mail:rsaadati@eml.cc).

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出版历程

Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces

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出版历程

目录

作者简介:
张石生(1934-),男,云南曲靖人,教授(E-mail:changss@yahoo.cn);R. Saadati,教授,博士(联系人.E-mail:rsaadati@eml.cc).