Asymptotic behavior of a third-order nonlinear neutral delay differential equation

被引：35

作者：

Jiang, Ying ^{[1
]}

Li, Tongxing ^{[2
,3
]}

机构：

[1] Qingdao Technol Univ, Feixian 273400, Shandong, Peoples R China

[2] Linyi Univ, LinDa Inst, Shandong Prov Key Lab Network Based Intelligent C, Linyi 276005, Shandong, Peoples R China

[3] Linyi Univ, Sch Informat, Linyi 276005, Shandong, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

asymptotic behavior; third-order neutral differential equation; oscillation; generalized Riccati substitution; OSCILLATION;

D O I：

10.1186/1029-242X-2014-512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging technique, a new Philos-type criterion is obtained which ensures that every solution of the studied equation is either oscillatory or converges to zero. An illustrative example is included.

引用

页数：7

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