Geodesic
On the generalized stability of dAlembert functional equation
Chahbi, Abdellatif1 ; Bounader, Nordine2
1 Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco
2 Department of Mathematics, Faculty of Science, University of Ibn Tofail, Kenitra, Morocco
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 3, p. 198-204.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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 ).
DOI : 10.22436/jnsa.006.03.05
Classification : 39B82, 39B62, 39B52
Keywords: Stability, super stability, functional equation, functional equality, cosine functional equation.

Chahbi, Abdellatif 1 ; Bounader, Nordine 2

1 Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco
2 Department of Mathematics, Faculty of Science, University of Ibn Tofail, Kenitra, Morocco 
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Chahbi, Abdellatif; Bounader, Nordine. On the generalized stability of dAlembert functional equation. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 3, p. 198-204. doi : 10.22436/jnsa.006.03.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.03.05/

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