ON THE OSCILLATION OF THIRD-ORDER QUASI-LINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：4
|
作者：
Thandapani, E. [1 ]
Li, Tongxing [2 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Madras, Tamil Nadu, India
[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
来源：
ARCHIVUM MATHEMATICUM | 2011年 / 47卷 / 03期
关键词：
third-order; neutral functional differential equations; oscillation and asymptotic behavior;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation (E) [a(t) ([x(t) + p(t)x(delta(t))]")(alpha)]' + q(t)x(alpha)(tau(t)) = 0, where alpha > 0, 0 <= p(t) <= p(0) < infinity and delta(t) <= t. By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of (E) is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.
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页码：181 / 199
页数：19
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