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  • 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
  • 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
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