On the generalized stability of dAlembert functional equation

Volume 6, Issue 3, pp 198--204 http://dx.doi.org/10.22436/jnsa.006.03.05

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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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Keywords

• Stability
• super stability
• functional equation
• functional equality
• cosine functional equation.

MSC

•  39B82
•  39B62
•  39B52

References

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