On the Hyers-Ulam Stability of the First-Order Difference Equation

被引：15
|
作者：
Jung, Soon-Mo [1 ]
Nam, Young Woo [1 ]
机构：
[1] Hongik Univ, Coll Sci & Technol, Math Sect, Sejong 30016, South Korea
来源：
JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷
基金：
新加坡国家研究基金会;
关键词：
RASSIAS STABILITY;
D O I：
10.1155/2016/6078298
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove Hyers-Ulam stability of the first-order difference equation of the form x(i+1) = F(i,x(i)), where.. is a given function with some moderate features. Moreover, we introduce some conditions for the function.. under which the difference equation is not stable in the sense of Hyers and Ulam.
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页数：6
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