Oscillation criteria for second order quasilinear neutral delay differential equations

被引：56

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.

引用

页码：388 / 396

页数：9

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