System of AQC functional equations in non-Archimedean normed spaces
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Abstract:
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.
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Journal title
volume 08 issue 01
pages 41- 52
publication date 2019-02-01
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