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
Binxiang Dai1
and Na Zhang2
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
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.