Nearly General Septic Functional Equation

被引：7

作者：

Chang, Ick-Soon ^{[1
]}

Lee, Yang-Hi ^{[2
]}

Roh, Jaiok ^{[3
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea

[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 32553, South Korea

[3] Hallym Univ, Ilsong Coll Liberal Arts, Chunchon 24252, South Korea

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

ULAM-RASSIAS STABILITY;

D O I：

10.1155/2021/5643145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping. A functional equation is said to be a general septic functional equation provided that each solution of that equation is a general septic mapping. In fact, there are a lot of ways to show the stability of functional equations, but by using the method of Ga vruta, we examine the stability of general septic functional equation Sigma C-8(i=08)i (-1)(8-i) f(x + (i - 4)y = 0 which considered. The method of G.avruta as just mentioned was given in the reference Gavruta (1994).

引用

页数：7

共 27 条

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