文献类型：期刊文献

英文题名：Oscillatory and asymptotic properties of higher order nonlinear neutral difference equations

作者：Zhou, Xiaoliang[1,2];Zhang, Weinian[2]

机构：[1]Guangdong Ocean Univ, Dept Math, Zhanjiang 524088, Guangdong, Peoples R China;[2]Sichuan Univ, Dept Math, Chengdu 610065, Sichuan, Peoples R China

年份：2008

卷号：203

期号：2

起止页码：679

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:000259313700022)、、EI(收录号：20083811567573)、Scopus(收录号：2-s2.0-51549109710)、WOS

语种：英文

外文关键词：oscillation; asymptotic properties; fixed point theorem; nonlinear; neutral difference equation; necessary condition; sufficient condition

外文摘要：In this paper, we study the oscillatory and asymptotic properties of solutions of higher order nonlinear neutral difference equations. Using Krasnoselskii＇s fixed point theorem, Schauder＇s fixed point theorem and Lebesgue＇s dominated convergence theorem, we obtain some necessary and sufficient conditions for all bounded solutions to be oscillatory or tend to zero. Our results extend and improve some known results. (C) 2008 Elsevier Inc. All rights reserved.