Advances in Difference Equations
Volume 2006 (2006), Article ID 65789, 7 pages

Oscillation of higher-order delay difference equations

Yinggao Zhou

School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, China

Received 6 January 2006; Revised 18 April 2006; Accepted 20 April 2006

Copyright © 2006 Yinggao Zhou. 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.


The oscillation and asymptotic behavior of the higher-order delay difference equation Δlxn+i=1mpi(n)xnki=0, n=0,1,2,, are investigated. Some sufficient conditions of oscillation and bounded oscillation of the above equation are obtained.