Advances in Difference Equations
Volume 2006 (2006), Article ID 47654, 19 pages

A classification scheme for nonoscillatory solutions of a higher order neutral difference equation

Zhi-qiang Zhu,1 Gen-qiang Wang,1 and Sui Sun Cheng2

1Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
2Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30034, China

Received 25 May 2005; Revised 21 September 2005; Accepted 28 September 2005

Copyright © 2006 Zhi-qiang Zhu et al. 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.


Nonoscillatory solutions of a nonlinear neutral type higher order difference equations are classified by means of their asymptotic behaviors. By means of the Kranoselskii's fixed point theorem, existence criteria are then provided for justification of such classification.