Abdelouaheb Ardjouni, Ahcene Djoudi, Department of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12 Annaba, Annaba 23000, Algeria, e-mail: abd_ardjouni@yahoo.fr, adjoudi@yahoo.com
Abstract: In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Keywords: fixed point, stability, neutral difference equation, variable delay
Classification (MSC 2010): 39A30, 39A70
Full text available as PDF.
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at myris@myris.cz.
