Oscillation of solutions of neutral difference equations with a nonlinear neutral term

被引：3
|
作者：
Lin, Xiaoyan [1 ]
机构：
[1] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China
[2] Cent S Univ, Sch Math & Comp Technol, Changsha 410083, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
neutral difference equation; sublinear neutral term; superlinear neutral term; oscillation; nonoscillation;
D O I：
10.1016/j.camwa.2006.02.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The oscillatory behavior of solutions of the neutral difference equations with nonlinear neutral term, Delta(x(n)-p(n)x(n)(alpha)-tau) + q(n)x(n-sigma)(beta) = 0, n >= n(0), is studied in the case when a not equal 1. A necessary and sufficient oscillatory conditions for the case 0 < alpha < 1 and an almost "sharp" oscillatory and nonoscillatory criteria for the case alpha > 1 are obtained. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：439 / 448
页数：10
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