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Advances in Continuous and Discrete Models

Theory and Modern Applications

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Hyers-Ulam stability of the linear recurrence with constant coefficients

Advances in Difference Equations volume 2005, Article number: 407076 (2005) Cite this article

Abstract

Let X be a Banach space over the field ℝ or ℂ, a1,...,a p ∈ ℂ, 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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  1. Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, 25-38 Gh. Baritiu Street, Cluj-Napoca, 3400, Romania

    Dorian Popa

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  1. Dorian Popa
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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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  • DOI: https://doi.org/10.1155/ADE.2005.101