Oscillation criteria for second-order neutral equations with distributed deviating argument

被引：21
|
作者：
Zhao, Junhua [1 ]
Meng, Fanwei [1 ]
机构：
[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 01期
关键词：
Oscillation; Second-order; Neutral delay differential equation; Distributed deviating argument;
D O I：
10.1016/j.amc.2008.09.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present new oscillation criteria for the second-order neutral delay differential equations with distributed deviating argument (r(t)psi(x(t))Z'(t))' + integral(b)(a) p(t, xi)f[x(g(t,xi))]d sigma(xi) = 0, t >= t(0), where Z(t) = x(t) + q(t)x(t - tau). New oscillation criteria are established, which are based on a class of new functions Phi(t ,s, l) defined in the sequel. Our results are sharper than some previous results which can be seen by the example at the end of this paper. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：485 / 493
页数：9
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