Hyers-Ulam stability of the linear recurrence with constant coefficients
© Popa 2005
Received: 5 November 2004
Published: 31 May 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.