On the generalized stability of dAlembert functional equation

Volume 6, Issue 3, pp 198--204
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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.

•  39B82
•  39B62
•  39B52

References

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