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Hyers-Ulam stability of the linear recurrence with constant coefficients

Abstract

Let X be a Banach space over the field or , a1,...,a p , and (b n )n≥0) a sequence in X. We investigate the Hyers-Ulam stability of the linear recurrence xn+p = a1xn+p-1 + + ap-1xn+1 + a p x n + b n , n ≥ 0, where x0,x1,...,xp-1 X.

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Correspondence to Dorian Popa.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Popa, D. Hyers-Ulam stability of the linear recurrence with constant coefficients. Adv Differ Equ 2005, 407076 (2005). https://doi.org/10.1155/ADE.2005.101

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