期刊论文

Xiao, J.

中文

湖南师范大学自然科学学报

2096-5281

2006

29

2

8-11

10.3969/j.issn.1000-2537.2006.02.003

湖南省自然科学基金资助项目（05jj4008）；

本校为第一机构

在α＞1且0＜β≤α的情形下研究了具非线性中立项时滞差分方程△（xn-pxαn-T）＋qnxβn-σ=0,n≥n0正解的存在性,获得了几乎＂sharp＂振动和非振动准则,及在α=p=1,β∈（0,∞）的情形下上述方程解的振动性,获得了一些新的振动条件.

The oscillatory behavior and non-oscillatory behavior of solutions of the delay difference equations with nonlinear neutral term Δ(xn - pxn-τα) + qnx n-σβ = 0, n ≥n0 are studied in the case when α>1 and 0 <β&le α. One almost "sharp" oscillatory and non-oscillatory criteria is obtained, and the ocsillatory behavior of this equation is studied in the case when α= p = 1, β∈(0, ∞).