Oscillation theorems for second-order superlinear neutral differential equations

被引：32

作者：

Baculikova, Blanka ^{[1
]}

Li, Tongxing ^{[2
]}

Dzurina, Jozef ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math, SK-04200 Kosice, Slovakia

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

来源：

MATHEMATICA SLOVACA | 2013年 / 63卷 / 01期

关键词：

second-order superlinear neutral differential equations; comparison theorem; oscillation; CRITERIA;

D O I：

10.2478/s12175-012-0087-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (r(t)vertical bar z'(t)vertical bar(alpha-1)z'(t))' + q(t)vertical bar x(sigma(t))vertical bar(alpha-1)x(sigma(t)) = 0, (E) where z(t) = x(t) + p(t)x(tau(t)). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the results in the literature.

引用

页码：123 / 134

页数：12

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