Stability of Mixed Additive-Quadratic and Additive-Drygas Functional Equations

被引：1
|
作者：
Choi, Chang-Kwon [1 ,2 ]
Lee, Bogeun [3 ,4 ]
机构：
[1] Kunsan Natl Univ, Dept Math, Gunsan 54150, South Korea
[2] Kunsan Natl Univ, Hwangrong Talent Educ Inst, Gunsan 54150, South Korea
[3] Chonbuk Natl Univ, Dept Math, Jeonju 54896, South Korea
[4] Chonbuk Natl Univ, Inst Pure & Appl Math, Jeonju 54896, South Korea
来源：
RESULTS IN MATHEMATICS | 2020年 / 75卷 / 01期
关键词：
Baire category theorem; Hyers-Ulam stability; Additive; Quadratic; Drygas; Functional equation; Lebesgue measure zero; HYERS-ULAM STABILITY; RESTRICTED DOMAINS; JENSEN; MAPPINGS; SET;
D O I：
10.1007/s00025-020-1163-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the Baire category theorem we investigate the Hyers-Ulam stability problem of mixed additive-quadratic and additive-Drygas functional equations 2f(x + y) + f(x - y) - 3f(x) - 3f(y) = 0, 2f(x + y) + f(x - y) - 3f(x) - 2f(y) - f(-y) = 0 on a set of Lebesgue measure zero. As a consequence, we obtain asymptotic behaviors of the functional equations.
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页数：14
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