Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments

被引：59

作者：

Dong, Jiu-Gang ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Joint Adv Res Ctr, Suzhou 215123, Jiangsu, Peoples R China

[2] City Univ Hong Kong, Suzhou 215123, Jiangsu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 12期

关键词：

Oscillation; Second order; Neutral differential equations; Deviating arguments; CRITERIA; THEOREMS;

D O I：

10.1016/j.camwa.2010.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form (r(t)vertical bar z'(t)vertical bar(alpha-1)Z'(t))' + f(t, x[sigma(t)] = 0 , t >= t(0) where alpha > 0 and z(t) = x(t) p(t)x[tau(t)]. Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3710 / 3717

页数：8

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