Generalized Hyers-Ulam Stability of a General Mixed Additive-cubic Functional Equation in Quasi-Banach Spaces

被引:1
作者
Tian Zhou XU [1 ]
John Michael RASSIAS [2 ]
Wan Xin XU [3 ]
机构
[1] School of Mathematics, Beijing Institute of Technology
[2] Pedagogical Department EE, Section of Mathematics and Informatics,National and Capodistrian University of Athens
[3] Department of Electrical and Computer Engineering, College of Engineering,University of Kentucky
关键词
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
070104 ;
摘要
In this paper, we establish a general solution and the generalized Hyers-Ulam-Rassias stability of the following general mixed additive-cubic functional equation f (kx+y) + f (kx-y) = kf (x+y) + kf(x-y)+2f(kx)-2kf (x) in the quasi-Banach spaces.
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收藏
页码:529 / 560
页数:32
相关论文
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A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces[J] Tian Zhou Xu;John Michael Rassias;Wan Xin Xu;Xue Zhong He Discrete Dynamics in Nature and Society 2010,
[2]  
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5629-5643
[4]  
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[5]  
Stability problem of Hyers-Ulam-Rassias for generalized forms of cubic functional equation[J] Dong Seung Kang;Hahng-Yun Chu Acta Mathematica Sinica; English Series 2008,
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The generalized Hyers–Ulam–Rassias stability of a cubic functional equation[J] Kil-Woung Jun;Hark-Mahn Kim Journal of Mathematical Analysis and Applications 2002, 2
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