Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 3, Pages 227-234
doi:10.1155/DDNS.2005.227
Stability and global attractivity for a class of
nonlinear delay difference equations
1School of Mathematical Science and Computing Technology, Central South University, Hunan, Changsha 410075, China
2College of Mathematics and Econometrics, Hunan University, Hunan, Changsha 410082, China
Received 13 April 2005
Copyright © 2005 Binxiang Dai and Na Zhang. 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.
Abstract
A class of nonlinear delay difference equations are considered
and some sufficient conditions for global attractivity of
solutions of the equation are obtained. It is shown that the
stability properties, both local and global, of the equilibrium of
the delay equation can be derived from those of an associated
nondelay equation.