Advances in Difference Equations
Volume 2005 (2005), Issue 2, Pages 101-107
doi:10.1155/ADE.2005.101

Hyers-Ulam stability of the linear recurrence with constant coefficients

Dorian Popa

Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca, 25-38 Gh. Baritiu Street, Cluj-Napoca 3400, Romania

Abstract

Let X be a Banach space over the field or , a1,,ap, and (bn)n0 a sequence in X. We investigate the Hyers-Ulam stability of the linear recurrence xn+p=a1xn+p1++ap1xn+1+apxn+bn, n0, where x0,x1,,xp1X.