System of AQC functional equations in non-Archimedean normed spaces

In 1897, Hensel introduced a normed space which does not have the Archimedean property. During the last three decades theory of non{Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from quantum physics, p{adic strings and superstrings. In this paper, we prove the generalized Hyers{ Ulam{Rassias stability for a system of additive, quadratic and cubic functional equations in non{Archimedean normed spaces.