Geodesic
GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES
PARK, CHOONKIL1 ; GORDJI , MADJID ESHAGHI 2 ; NAJATI, ABBAS3
1 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea
2 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
3 Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, 56199-11367, Iran
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 272-281.

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

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation
$f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y)$
in non-Archimedean Banach spaces.
DOI : 10.22436/jnsa.003.04.06
Classification : 46S10, 39B52, 54E40, 47S10, 26E30, 12J25
Keywords: non-Archimedean Banach space, additive-quadratic-cubic-quartic functional equation, generalized Hyers-Ulam stability.

PARK, CHOONKIL 1 ; GORDJI , MADJID ESHAGHI  2 ; NAJATI, ABBAS 3

1 Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea
2 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
3 Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, 56199-11367, Iran 
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PARK, CHOONKIL; GORDJI , MADJID ESHAGHI ; NAJATI, ABBAS. GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 272-281. doi : 10.22436/jnsa.003.04.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.04.06/

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