[1]吕刚,穆明珠,金元峰*,等.一类Drygas泛函方程解的稳定性[J].延边大学学报(自然科学版),2021,47(02):116-119.
　LYU Gang,MU Mingzhu,JIN Yuanfeng*,et al.The stability of solution for a class of Drygas function equations[J].Journal of Yanbian University,2021,47(02):116-119.
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一类Drygas泛函方程解的稳定性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第47卷 期数: 2021年02期 页码: 116-119 栏目: 基础科学研究 出版日期: 2021-07-20
Title:
The stability of solution for a class of Drygas function equations
文章编号:
1004-4353(2021)02-0116-04
作者:
吕刚1; 2;  穆明珠1;  金元峰3*;  Muhammad Israr1
(1.沈阳工业大学 理学院, 辽宁 沈阳 110870; 2.广州工商学院 通识学院, 广东 广州 510850; 3.延边大学 理学院, 吉林 延吉 133002)
Author(s):
LYU Gang1; 2;  MU Mingzhu1;  JIN Yuanfeng3*;  Muhammad Israr1
(1.School of Science, Shenyang University of Technology, Shenyang 110870, China; 2.College of General Education, Guangzhou College of Technology and Business, Guangzhou 510850, China; 3.College of Science, Yanbian University, Yanji 133002, China)
关键词:
Drygas泛函方程;  稳定性;  群;  Banach空间
Keywords:
Drygas functional equation;  stability;  group;  Banach space
分类号:
O177.2
文献标志码:
A
摘要:
利用迭代法和泛函不等式研究了一类Drygas泛函方程f(xyz)+f(xyz-1)=2f(x)+2f(y)+f(z)+f(-z)解的稳定性问题,并证明了该方程的解具有存在唯一性.
Abstract:
Using the iterative method and functional inequality, the stability of solution of a class of Drygas functional equation is investigated f(xyz)+f(xyz-1)=2f(x)+2f(y)+f(z)+f(-z).The existence and uniqueness of solutions of Drygas functional equation are obtained.

参考文献/References:

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[10] SIROUNI M, KABBAJ S. A fixed point approach to the hyperstability of Drygas functional equation in metric spaces[J]. J Math Comput Sci, 2014,4(4):705-715.
[11] SABOUR K H. A variant of Drygas' functional equation with an endomorphism[J]. Asia Mathematika, 2020,4(1):63-68.
[12] CHOI C, LEE B. Stability of mixed additive -quadratic and additive -Drygas functional equations[J]. Results Math, 2020,75:38.
[13] SUN W L, JIN Y, PARK C, et al. 3 -Variable double ρ-functional inequalities of Drygas[J]. J Math Inequal, 2019,13(4):1235-1244.

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备注/Memo

收稿日期: 2021-03-17 基金项目: 国家自然科学基金(11761074); 广州工商学院基础研究项目(KA202032)
*通信作者: 金元峰(1976—),男,博士,教授,研究方向为泛函方程稳定性及其应用.

更新日期/Last Update: 2021-07-20