Oscillation of solutions of neutral differential equations with a superlinear neutral term

被引：27
|
作者：
Lin, Xiaoyan
Tang, X. H. [1 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
[2] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 09期
基金：
中国国家自然科学基金;
关键词：
first-order neutral differential equation; superlinear neutral term; oscillation;
D O I：
10.1016/j.aml.2006.11.006
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 differential equations with a superlinear neutral term [x(t) - px(alpha()t (-) tau)]' + q(t) (m)Pi(j=1)vertical bar(x(t-sigma(1))] = 0, t >= t(0), is studied in the case when alpha > 1. Two almost "sharp" oscillatory and non-oscillatory criteria are obtained. (c) 2007 Published by Elsevier Ltd.
引用
收藏
页码：1016 / 1022
页数：7
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