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Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces. (English) Zbl 1204.39028
Let $$G$$ be an additive group and $$X$$ a complete non-Archimedean normed space. Let the function $$f: G \to X$$ satisfy the functional equation
$f(x+2y)+f(x-2y) = 4( f(x+y)+f(x-y)) -24f(y) - 6f(x) + 3f(2y)$
for all $$x, y \in G$$. In this paper, the authors study the Hyers-Ulam-Rassias stability of the above functional equation in non-Archimedean spaces.

MSC:
 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges
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References:
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