Advances in Difference Equations
Volume 2005 (2005), Issue 2, Pages 101-107

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

Received 5 November 2004; Revised 14 March 2005

Copyright © 2005 Dorian Popa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.