OSCILLATION CRITERIA FOR SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS

被引：0

作者：

Gui, Gaihua ^{[1
]}

Xu, Zhiting ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Oscillation; neutral differential equation; second order; distributed deviating argument; Riccati technique;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a class of test functions Phi(t, s, T) defined by Sun [13] and a generalized Riccati technique, we establish some new oscillation criteria for the second-order neutral differential equation with distributed deviating argument (r(t)psi(x(t))Z'(t))' + integral(b)(a) q(t, xi)f[x(g(t, xi))]d sigma(xi) = 0, t >= t(0), where Z(t) = x(t)+ p(t)x(t-T). The obtained results are different from most known ones and can be applied to many cases which are not covered by existing results.

引用

页数：11

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