Advances in Difference Equations
Volume 2006 (2006), Article ID 47654, 19 pages
doi:10.1155/ADE/2006/47654
A classification scheme for nonoscillatory solutions of a higher order neutral difference equation
Zhi-Qiang Zhu1
, Gen-Qiang Wang1
and Sui Sun Cheng3
1Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, China
3Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30034, China
Abstract
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.