Oscillation criteria for second order quasilinear neutral delay differential equations

被引：53
|
作者：
Ye, Luhong [1 ]
Xu, Zhiting [1 ]
机构：
[1] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 207卷 / 02期
关键词：
Oscillation; Second order; Neutral delay differential equation; Quasilinear; FUNCTIONAL ARGUMENTS; THEOREMS;
D O I：
10.1016/j.amc.2008.10.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Oscillation criteria for second order quasilinear delay differential equation (r(t)psi(x(t))vertical bar Z'(t)vertical bar(alpha-1)Z'(t))' + q(t)f(x(sigma(t))) = 0, t >= t(0), where Z(t) = x(t) + p(t)x(tau(t)) and alpha > 0, are established under the conditions: integral(infinity)(t0) r(-1/alpha)(s)ds = infinity or integral(infinity)(t0) r(-1/alpha)(s)ds < infinity, respectively. The results obtained here improve and extend some known results in literature. (C) 2008 Elsevier Inc. All rights reserved.
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页码：388 / 396
页数：9
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