STABILITY OF FUNCTIONAL EQUATIONS AND PROPERTIES OF GROUPS

被引：2

作者：

Forti, Gian Luigi ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Via C Saldini 50, I-20133 Milan, Italy

来源：

ANNALES MATHEMATICAE SILESIANAE | 2019年 / 33卷 / 01期

关键词：

functional equation; quadratic functional equation; stability; amenable group; weak commutativity; AMENABILITY;

D O I：

10.2478/amsil-2019-0004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Investigating Hyers-Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more sophisticated. The aim of this survey is to present these properties and compare, as far as possible, the classes of groups involved.

引用

页码：77 / 96

页数：20

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