Advances in Difference Equations
Volume 2006 (2006), Article ID 65789, 7 pages
doi:10.1155/ADE/2006/65789
Oscillation of higher-order delay difference equations
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.
Abstract
The oscillation and asymptotic behavior of the higher-order delay
difference equation Δlxn+∑i=1mpi(n)xn−ki=0, n=0,1,2,…, are investigated. Some sufficient conditions of oscillation and bounded
oscillation of the above equation are obtained.