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.

引用

页数：6

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