Oscillation of Second-Order Neutral Differential Equations

被引：42
|
作者：
Li, Tongxing [1 ]
Rogovchenko, Yuri V. [2 ]
Zhang, Chenghui [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
[2] Univ Agder, Fac Sci & Engn, N-4604 Kristiansand, Norway
来源：
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2013年 / 56卷 / 01期
关键词：
Oscillation; Neutral differential equations; Delayed arguments; Advanced arguments; Positive solutions; Comparison; CRITERIA;
D O I：
10.1619/fesi.56.111
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study oscillatory behavior of a class of second-order neutral differential equations relating oscillation of these equations to existence of positive solutions to associated first-order functional differential inequalities. Our assumptions allow applications to differential equations with both delayed and advanced arguments, and not only. New theorems complement and improve a number of results reported in the literature. Two illustrative examples are provided.
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页码：111 / 120
页数：10
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