Oscillation of second order quasilinear neutral delay differential equations

被引：0

作者：

Han, Zhenlai ^{[1
,2
]}

Li, Tongxing ^{[1
]}

Sun, Shurong ^{[1
,3
]}

Chen, Weisong

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[3] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2012年 / 40卷 / 1-2期

关键词：

Oscillation; Neutral delay differential equations; Riccati transformation technique;

D O I：

10.1007/s12190-012-0562-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by employing Riccati transformation technique, some new sufficient conditions for the oscillation criteria are given for the second order quasilinear neutral delay differential equations with delayed argument in the form (r(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)), 0 <= p(t) = p < 1, lim(t ->infinity) p(t) = p1 < 1, q(t) > 0, alpha > 0. Two examples are considered to illustrate the main results.

引用

页码：143 / 152

页数：10

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