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Solution and stability of mixed type functional equation in non-Archimedean random normed spaces

Solution and stability of mixed type functional equation in non-Archimedean random normed spaces
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摘要 The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented. The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the theory of functional equations is presented.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第5期663-676,共14页 应用数学和力学(英文版)
基金 supported by the Natural Science Foundation of Yibin University(No.2009Z03)
关键词 generalized Hyers-Ulam stability Euler-Lagrange functional equation nonArchimedean normed space p-adic field generalized Hyers-Ulam stability, Euler-Lagrange functional equation, nonArchimedean normed space, p-adic field
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