Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

被引：27
作者：
Tian, Yazhou [1 ,2 ]
Cai, Yuanli [1 ]
Fu, Youliang [2 ]
Li, Tongxing [2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Shaanxi, Peoples R China
[2] Qingdao Technol Univ, Feixian 273400, Shandong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
oscillation; asymptotic behavior; third-order neutral differential equation; distributed deviating argument; generalized Riccati transformation; CRITERIA; THEOREMS;
D O I：
10.1186/s13662-015-0604-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By employing a generalized Riccati transformation and integral averaging technique, two Philos-type criteria are obtained which ensure that every solution of a class of third-order neutral differential equations with distributed deviating arguments is either oscillatory or converges to zero. These results extend and improve related criteria reported in the literature. Two illustrative examples are provided.
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页数：14
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