Oscillation of High Order Neutral Delay Difference Equations with Continuous Arguments  

作　　者：Mei HUANG Jian Hua SHEN 

机构地区：[1]Department of Mathematics and Physics, Hunan First Normal College, Hunan 410002, P. R. China [2]College of Mathematics and Computer Science, Hunan Normal University, Hunan 410081, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2010年第2期374-380,共7页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10571050);the Science and Research Fund for Higher College of Hunan Province (Grant No.06C054)

摘　　要：In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x（t） - c（t）x（t - τ）] = （-1）mp（t）x（t - σ）, t ≥ t0 〉 0. Some sufficient conditions are obtained for bounded oscillation of the solutions.In this paper, we study oscillation of solutions for a class of high order neutral delay difference equations with variable coefficients -τm [x（t） - c（t）x（t - τ）] = （-1）mp（t）x（t - σ）, t ≥ t0 〉 0. Some sufficient conditions are obtained for bounded oscillation of the solutions.

关 键 词：delay difference equation bounded solution OSCILLATION nonoscillation. 

分 类 号：O175.7[理学—数学] O241.84[理学—基础数学]