Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces

M. Eshaghi Gordji, M. Bavand Savadkouhi, Th. M. Rassias

Published 2009-09-30, updated 2009-10-08Version 2

In this paper, we prove generalized Hyres--Ulam--Rassias stability of the mixed type additive, quadratic and cubic functional equation $$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)$$ for fixed integers $k$ with $k\neq0,\pm1$ in non-Archimedean spaces.