System of AQC functional equations in non-Archimedean normed spaces
Subject Areas : Functional analysis
1 - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Keywords: Additive&lrm, , &lrm, quadratic&lrm, , &lrm, cubic&lrm, , &lrm, functional equation&lrm, , &lrm, non--Archimedean spaces&lrm, , &lrm, generalized Hyers--Ulam--Rassias stability,
Abstract :
In 1897, Hensel introduced a normed space which doesnot have the Archimedean property. During the last three decadestheory of non--Archimedean spaces has gained the interest ofphysicists for their research in particular in problems comingfrom quantum physics, p--adic strings and superstrings. In this paper, we provethe generalized Hyers--Ulam--Rassias stability for asystem of additive, quadratic and cubic functional equations innon--Archimedean normed spaces.
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