Hyers-Ulam stability of the linear recurrence with constant coefficients

被引：78

作者：

Popa, Dorian ^{[1
]}

机构：

[1] Tech Univ Cluj, Dept Math, Fac Automat & Comp Sci, Cluj Napoca 3400, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2005年 / 2005卷 / 02期

关键词：

D O I：

10.1155/ADE.2005.101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a Banach space over the field R or C, a(1), ..., a(p) is an element of C, and (b(n))(n >= 0) a sequence in X. We investigate the Hyers-Ulam stability of the linear recurrence x(n+p) = a1x(n+p-1) + ... + a(p-1)x(n+1) + a(p)x(n) + b(n), n >= 0, where x(0), x(1),..., x(p-1) is an element of X.

引用

页码：101 / 107

页数：7

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