Open Access

Hyers-Ulam stability of the linear recurrence with constant coefficients

Advances in Difference Equations20052005:407076

https://doi.org/10.1155/ADE.2005.101

Received: 5 November 2004

Published: 31 May 2005

Abstract

Let X be a Banach space over the field or , a1,...,a p , 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.

Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Automation and Computer Science, Technical University of Cluj-Napoca

Copyright

© Popa 2005