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数学与物理
运筹与模糊学
Vol. 6 No. 4 (November 2016)
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多元二次函数方程在限制定义域上的稳定性
The Stability of a Multi-Quadratic Functional Equation on a Restricted Domain
DOI:
10.12677/ORF.2016.64014
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被引量
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作者:
王 琳
:青岛科技大学数理学院,山东 青岛;
纪培胜
,
刘韦韦
:青岛大学数学与统计学院,山东 青岛
关键词:
Hyers-Ulam稳定性
;
函数方程
;
多元二次函数方程
;
Hyers-Ulam Stability
;
Functional Equation
;
Multi-Quadratic Functional Equation
摘要:
本文证明了多元二次函数方程在限制定义域上的稳定性。
Abstract:
In this paper, we obtain the stability of the multi-quadratic functional equation on a restricted domain.
文章引用:
王琳, 纪培胜, 刘韦韦. 多元二次函数方程在限制定义域上的稳定性[J]. 运筹与模糊学, 2016, 6(4): 107-114.
http://dx.doi.org/10.12677/ORF.2016.64014
参考文献
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1
]
Ulam, S.M. (1960) A Collection of Mathematical Problems. Interscience, New York.
[
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]
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http://dx.doi.org/10.1073/pnas.27.4.222
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Kominek, Z. (1989) On a Local Stability of the Jensen Functional Equation. De-monstratio Mathematica, 22, 499-507.
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Rassias, J.M. (2002) On the Ulam Stability of Mixed Type Mappings on Restricted Domains. Journal of Mathematical Analysis and Applications, 276, 747-762.
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Wolna, D. (2006) The Stability of Monomial Functions on a Restricted Domain. Aequationes Mathematicae, 72, 100- 109.
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[
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Rassias, J.M. and Rassias, M.J. (2003) On the Ulam Stability of Jensen and Jensen Type Mappings on Restricted Domains. Journal of Mathematical Analysis and Applications, 281, 516-524.
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http://dx.doi.org/10.1155/2012/691981
[
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]
Lee, Y.-H. (2013) Hyers-Ulam-Rassias Stability of a Quadratic Additive Type Functional Equation on a Restricted Domain. International Journal of Mathematical Analysis, 7, 2745-2752.
http://dx.doi.org/10.12988/ijma.2013.39224
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Parka, W.-G. and Baeb, J.-H. (2005) On a Bi-Quadratic Functional Equation and Its Stability. Nonlinear Analysis, 62,643-654.
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Ji, P.S., Qi, W.Q. and Zhan, X.J. (2014) Generalized Stability of Multi-Quadratic Mappings. Journal of Mathematics Research with Applications, 34, 209-215.
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