Advances in Difference Equations
Volume 2008 (2008), Article ID 238068, 6 pages
Stability of Solutions for a Family of Nonlinear Difference Equations
1College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China
2Department of Mathematics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, China
Received 8 September 2007; Accepted 31 January 2008
Academic Editor: Mariella Cecchi
Copyright © 2008 Taixiang Sun et al. 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.
We consider the family of nonlinear difference equations:
and the initial values . We give sufficient
conditions under which the unique equilibrium of these equations is globally
asymptotically stable, which extends and includes corresponding results obtained in
the cited references.