Lattictic non-archimedean random stability of ACQ functional equation

被引：33
作者：
Cho, Yeol Je [2 ]
Saadati, Reza [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran
[2] Gyeongsang Natl Univ, Dept Math Educ & Rins, Chinju 660701, South Korea
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
基金：
新加坡国家研究基金会;
关键词：
Stability; Random normed space; Fixed point; Generalized Hyers-Ulam stability; Additive-cubic-quartic functional equation; Lattice; non-Archimedean normed spaces; ULAM-RASSIAS STABILITY; JENSEN; APPROXIMATION; MAPPINGS; BEHAVIOR;
D O I：
10.1186/1687-1847-2011-31
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 11f(x + 2y) + 11f(x - 2y) = 44f(x + y) + 44f(x - y) + 12f(3y) - 48f(2y) + 60f(y) - 66(x) (1) in various complete lattictic random normed spaces.
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页数：12
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