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

页码：1016 / 1022

页数：7

共 7 条

[1]

Erbe L.H., 1995, Oscillation Theory for Functional Differential Equations

[2]

Gy??ri I., 1991, OSCILLATION THEORY D

[3] Necessary and sufficient conditions for oscillation of first order nonlinear neutral differential equations [J].