Remarks on stability of linear recurrence of higher order

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Abstract

We prove some stability results for linear recurrences with constant coefficients in normed spaces. As a consequence we obtain a complete solution of the problem of the HyersUlam stability for such recurrences. © 2010 Elsevier Ltd. All rights reserved.

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Brzdȩk, J., Popa, D., & Xu, B. (2010). Remarks on stability of linear recurrence of higher order. Applied Mathematics Letters, 23(12), 1459–1463. https://doi.org/10.1016/j.aml.2010.08.010

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