吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (06): 1299-1303.

• 数学 • 上一篇    下一篇

一类二阶中立型广义Emder-Fowler阻尼方程的振动准则

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:2019-03-01 出版日期:2019-11-26 发布日期:2019-11-20
  • 通讯作者: 林文贤 E-mail:linwx66@163.com

Oscillation Criteria for a Class of Second Order NeutralGeneralized EmderFowler Equations with Damping Terms

LIN Wenxian   

  1. College of Mathematics and Statistics, Hanshan Normal University,Chaozhou 521041, Guangdong Province, China
  • Received:2019-03-01 Online:2019-11-26 Published:2019-11-20
  • Contact: LIN Wenxian E-mail:linwx66@163.com

摘要: 考虑一类具阻尼项的二阶中立型广义EmderFowler方程解的振动性, 先借助Riccati变换对非线性项和阻尼项进行处理, 达到线性化的目的, 再利用Philos的积分平均方法, 建立这类方程解的振动准则.

关键词: 中立型, EmderFowler方程, 振动准则, 阻尼项

Abstract: The author considered oscillation of solutions for a class of  second order neutral generalized EmderFowler equations with damping terms. In order to achieve the purpose of linearization, the author first used  Riccati transformation   to deal with  the nonlinear terms and damping terms, and then used  Philo’s integral average method to establish the  oscillation  criteria for the solutions of these equations.

Key words: neutral type, EmderFowler equations, oscillation criteria, damping term

中图分类号: 

  • O175.13