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

Yinggao Zhou

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

Abstract

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.