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非-Archimedean随机空间中混合型泛函方程的解及稳定性

Solution and Stability of a Mixed Type Functional Equation in Non-Archimedean Random Spaces
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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. 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.
作者 张石生 R·萨达提 G·萨德基
机构地区 宜宾学院数学系 伊斯兰阿萨德大学数学系
出处 《应用数学和力学》 CSCD 北大核心 2011年第5期623-634,共12页 Applied Mathematics and Mechanics
基金 宜宾学院自然科学基金资助(2009Z03)
关键词 广义Hyers-Ulam稳定性 Euler-Lagrange泛函方程 非-Archimedean赋范空间 P-ADIC域 generalized Hyers-Ulam stability Euler-Lagrange functional equation non-Archimedean normed space p-adic field
分类号 O177.91 [理学—基础数学]
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参考文献31

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二级参考文献28

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应用数学和力学
2011年 第5期

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