Classical stabilities of multiplicative inverse difference and adjoint functional equations

被引：5
|
作者：
Kumar, B. V. Senthil [1 ]
Al-Shaqsi, Khalifa [1 ]
Dutta, Hemen [2 ]
机构：
[1] Nizwa Coll Technol, Dept Informat Technol, Nizwa, Oman
[2] Gauhati Univ, Dept Math, Gauhati, India
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Multiplicative inverse function; Reciprocal functional equation; Ulam-Hyers stability; Real numbers;
D O I：
10.1186/s13662-020-02680-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this present article is to investigate various classical stability results of the multiplicative inverse difference and adjoint functional equations md rs r + s - md 2rs r + s = 1 2 md(r) + md(s) and ma rs r + s + ma 2rs r + s = 3 2 ma(r) + ma(s) in the framework of non-zero real numbers. A proper counter-example is illustrated to prove the failure of the stability results for control cases. The relevance of these functional equations in optics is also discussed.
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页数：9
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