Hyers-Ulam stability of the linear recurrence with constant coefficients

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作者：
Dorian Popa
机构：
[1] Technical University of Cluj-Napoca,Department of Mathematics, Faculty of Automation and Computer Science
来源：
Advances in Difference Equations | / 2005卷
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摘要：
Let X be a Banach space over the field ℝ or ℂ, a1,...,ap ∈ ℂ, and (bn)n≥0) a sequence in X. We investigate the Hyers-Ulam stability of the linear recurrence xn+p = a1xn+p-1 + ⋯ + ap-1xn+1 + apxn + bn, n ≥ 0, where x0,x1,...,xp-1 ∈ X.
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