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Hyers-Ulam stability of the linear recurrence with constant coefficients
Advances in Difference Equations volume 2005, Article number: 407076 (2005)
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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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