OSCILLATION OF NEUTRAL SECOND ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS WITHOUT COMMUTATIVITY IN DEVIATING ARGUMENTS

被引：8

作者：

Finarova, Simona ^{[1
]}

Marik, Robert ^{[1
]}

机构：

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

来源：

MATHEMATICA SLOVACA | 2017年 / 67卷 / 03期

关键词：

half-linear differential equation; oscillation criteria; neutral differential equation; Riccati equation; Euler type equation;

D O I：

10.1515/ms-2017-0003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we derive oscillation criteria for the second order 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, p >= 2, is a power type nonlinearity. We improve recent results published in the literature by obtaining better oscillation constants and removing the usual condition sigma(tau(t)) = tau(sigma(t)). Two methods (comparison method and Riccati equation method) are used. (C) 2017 Mathematical Institute Slovak Academy of Sciences

引用

页码：701 / 718

页数：18

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