文章基本信息

标题：Oscillation criteria for third-order delay differential equations
本地全文：下载
作者：George E Chatzarakis ; Said R Grace ; Irena Jadlovská 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：330
DOI：10.1186/s13662-017-1384-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order delay differential equation of the form ( r 2 ( t ) ( r 1 ( t ) y ′ ( t ) ) ′ ) ′ + q ( t ) y ( τ ( t ) ) = 0 . $$ igl( r_,(t) igl( r_)(t)y'(t) igr) ' igr) '+q(t)y igl( au(t) igr)= 0. $$ We establish new oscillation criteria that can be used to test for oscillations, even when the previously known criteria fail to apply. Examples illustrating the results are also given.
关键词：third-order ; differential equation ; delay ; Grönwall inequality ; oscillation