吉林大学学报(理学版)

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一类具阻尼项的偶阶中立型微分方程的振动性分析

林文贤   

  1. 韩山师范学院 数学与统计学院, 广东 潮州 521041
  • 收稿日期:2016-06-27 出版日期:2017-09-26 发布日期:2017-09-26
  • 通讯作者: 林文贤 E-mail:linwx66@163.com

Oscillation Analysis for a Class of Even Order NeutralDifferential Equations with Damping Terms

LIN Wenxian   

  1. College of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, Guangdong Province, China
  • Received:2016-06-27 Online:2017-09-26 Published:2017-09-26
  • Contact: LIN Wenxian E-mail:linwx66@163.com

摘要: 考虑一类具有分布时滞和阻尼项的偶数阶、 非线性中立型泛函微分方程, 利用广义Riccati变换、 H函数法和微分不等式技巧, 建立其一切解振动的若干充分条件.

关键词: 泛函微分方程, 阻尼项, 中立型, 振动性, 偶阶

Abstract: The author considered a class of even order nonlinear neutral functional differential equations with distributed delays and damping terms. By using the generalized Riccati transformation, H function method and differential inequality skills, the author established some sufficient conditions for oscillation of all solutions of the equation.

Key words: even order, oscillation, functional differential equation, damping term, neutral

中图分类号: 

  • O175.25