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  • 标题:Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments
  • 本地全文:下载
  • 作者:Cuimei Jiang ; Ying Jiang ; Tongxing Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:105
  • DOI:10.1186/s13662-016-0833-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Using the Riccati transformation technique, we present several sufficient conditions that guarantee that all solutions to a third-order differential equation with nonpositive neutral coefficients and distributed deviating arguments are either oscillatory or converge to zero asymptotically. In particular, we establish Hille and Nehari type criteria. Two examples are given to demonstrate the practicability of the main results.
  • 关键词:asymptotic behavior ; third-order neutral differential equation ; nonpositive neutral coefficient ; distributed deviating argument ; oscillation
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