On the generalized stability of dAlembert functional equation
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Authors
Abdellatif Chahbi
- Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco.
Nordine Bounader
- Department of Mathematics, Faculty of Science, University of Ibn Tofail, Kenitra, Morocco.
Abstract
In this article, we study the super stability problem for the functional equation:
\[\Sigma _{\psi\in K_{n-1}} f(\psi (x_1,..., x_n)) = 2^{n-1} \Pi^n_{ i=1} f(x_i)\]
on an Abelian group and the unknown function \(f\) is ( a complex or a semi simple Banach algebra valued ).
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ISRP Style
Abdellatif Chahbi, Nordine Bounader, On the generalized stability of dAlembert functional equation, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 198--204
AMA Style
Chahbi Abdellatif, Bounader Nordine, On the generalized stability of dAlembert functional equation. J. Nonlinear Sci. Appl. (2013); 6(3):198--204
Chicago/Turabian Style
Chahbi, Abdellatif, Bounader, Nordine. "On the generalized stability of dAlembert functional equation." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 198--204
Keywords
- Stability
- super stability
- functional equation
- functional equality
- cosine functional equation.
MSC
References
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