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The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces

Authors :
Thanyacharoen Anurak
Sintunavarat Wutiphol
Source :
Demonstratio Mathematica, Vol 53, Iss 1, Pp 174-192 (2020)
Publication Year :
2020
Publisher :
De Gruyter, 2020.

Abstract

In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.

Details

Language :
English
ISSN :
23914661
Volume :
53
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Demonstratio Mathematica
Publication Type :
Academic Journal
Accession number :
edsdoj.816924af632048bfbd90edcc35ff6854
Document Type :
article
Full Text :
https://doi.org/10.1515/dema-2020-0009