International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 34232, 7 pages
Oscillation of solutions of impulsive neutral difference equations with continuous variable
1Department of Mathematics, Huaihua College, Huaihua 418008, Hunan, China
2Department of Mathematics, Hunan Normal University, Changsha 410081, Hunan, China
Received 21 June 2005; Revised 1 April 2006; Accepted 25 April 2006
Copyright © 2006 Gengping Wei and Jianhua Shen. 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 obtain sufficient conditions for oscillation of all solutions of the neutral impulsive difference equation with continuous variable , , , , , where denotes the forward difference operator, that is, , , , , are positive integers, and are constants, with .