Oscillation theorems for second-order superlinear neutral differential equations

被引：33
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
收藏
页码：123 / 134
页数：12
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