Oscillation criteria for neutral half-linear differential equations without commutativity in deviating arguments

被引：2

作者：

Fisnarova, Simona ^{[1
]}

机构：

[1] Mendel Univ Brno, Dept Math, Zemedelska 1, CZ-61300 Brno, Czech Republic

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 51期

关键词：

half-linear differential equation; delay equation; oscillation criteria; neutral equation; THEOREMS;

D O I：

10.14232/ejqtde.2016.1.51

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the half-linear neutral differential equation [r(t)Phi(z'(t))]' + c(t)Phi(x(sigma(t))) = 0, z(t) = x(t) + b(t)x(tau(t)), where Phi(t) = vertical bar t vertical bar(p) (2)t. We present new oscillation criteria for this equation in case when sigma(tau(t)) not equal tau(sigma(t)) and integral(infinity)r(1q)(t) dt < infinity, q = p/(p-1), p >= 2 is a real number. The results of this paper complement our previous results in case when the above intergal is divergent and/or the deviations tau, sigma commute with respect to their composition.

引用

页码：1 / 10

页数：10

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