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  • 标题:Oscillatory behavior of a second order nonlinear advanced differential equation with mixed neutral terms
  • 本地全文:下载
  • 作者:Hongwei Shi ; Yuzhen Bai
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-18
  • DOI:10.1186/s13662-019-2393-9
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we present several new oscillation criteria for a second order nonlinear differential equation with mixed neutral terms of the form$$ \bigl(r(t) \bigl(z'(t)\bigr)^{\alpha }\bigr)'+q(t)x^{\beta } \bigl(\sigma (t)\bigr)=0,\quad t\geq t_(, $$ where $z(t)=x(t)+p_)(t)x(\tau (t))+p_,(t)x(\lambda (t))$ and α, β are ratios of two positive odd integers. Our results improve and complement some well-known results which were published recently in the literature. Two examples are given to illustrate the efficiency of our results.
  • 关键词:Oscillation ; Second order ; Mixed neutral terms ; Advanced differential equation ;
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