OSCILLATION OF CERTAIN THIRD-ORDER QUASILINEAR NEUTRAL DIFFERENTIAL EQUATIONS

被引：11
|
作者：
Yang, Linlin [1 ]
Xu, Zhiting [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
MATHEMATICA SLOVACA | 2014年 / 64卷 / 01期
关键词：
oscillation; third-order; quasilinear; neutral differential equations; CRITERIA; THEOREMS;
D O I：
10.2478/s12175-013-0189-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, new oscillation criteria for the third-order quasilinear neutral differential equation (a(t)(z ''(t))(gamma))' + q(t)x(gamma)(tau(t)) = 0, t >= t(0), are established, where z(t) = x(t) + p(t) x(delta(t)), and gamma is a ratio of odd positive integers. Those results extend the oscillation criteria due to Sun [SUN, Y. G.: New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping, J. Math. Anal. Appl. 291 (2004) 341-351] to the equation, and complement the existing results in literature. Two examples are provided to illustrate the relevance of our main theorems. (C) 2014 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：85 / 100
页数：16
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