Advances in Difference Equations
Volume 2010 (2010), Article ID 461014, 17 pages
Research Article

Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation

College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Received 20 March 2010; Accepted 2 June 2010

Academic Editor: Leonid Shaikhet

Copyright © 2010 Bo Zheng. 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.


Sufficient conditions are obtained for the uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in the literature. An example is also worked out to verify that the global attractivity condition is a sharp condition.