Applications of Banach Limit in Ulam Stability

被引：16
作者：
Badora, Roman [1 ]
Brzdek, Janusz [2 ]
Cieplinski, Krzysztof [2 ]
机构：
[1] Univ Silesia, Inst Math, Bankowa 14, PL-40007 Katowice, Poland
[2] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 05期
关键词：
Banach limit; Ulam stability; functional equation; LINEAR FUNCTIONAL-EQUATION; SCHRODER EQUATION;
D O I：
10.3390/sym13050841
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.
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页数：18
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