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二阶广义Ernden-Fowler型微分方程的振荡性

来源:用户上传      作者:李继猛

  摘要:研究了一类二阶广义Emden-Fowler型非线性变时滞中立型泛函微分方程的振荡性.利用广义Riccati变换技术及一些分析技巧,在条件∫+∞a-1/β(t)dt<+∞下建立了该类方程振荡的两个新的判别准则.所举例子说明,这些准则不仅推广和改进了一些已有的结果,而且具有较好的实用性和可操作性.
  关键词:振荡性; Emden-Fowler型微分方程; Riccati变换
  中图分类号:0175.7
  文献标志码:A
  DOI: 10.3969/j.issn.1000-5641.2019.04.002
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