具无界中立系数的三阶Emden-Fowler微分方程的弱振动性

曾云辉; 汪安宁; 汪志红; 罗李平

doi:10.13471/j.cnki.acta.snus.2020.07.29.2020A037

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具无界中立系数的三阶Emden-Fowler微分方程的弱振动性

研究论文 | 更新时间：2023-11-01

- 具无界中立系数的三阶Emden-Fowler微分方程的弱振动性
- Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients
- 中山大学学报(自然科学版) 2021年60卷第6期页码：169-179
- 作者机构：
  
  1.衡阳师范学院数学与统计学院，湖南衡阳 421002
  2.衡阳师范学院南岳学院数学与计算科学系，湖南衡阳 421008
- 作者简介：
  
  曾云辉（1978年生），男；研究方向：微分方程定性理论；E-mail：chj8121912@sina.com
  罗李平（1964年生），男；研究方向：（脉冲）偏微分方程解的性态；E-mail：luolp3456034@163.com
- 基金信息：
  
  湖南省自然科学基金(2019JJ40004);湖南省教育厅科学基金重点项目(20A063);湖南省大学生创新创业训练计划项目(S201910546030;S202112659007;201912659004);湖南省双一流应用特色学科项目(湘教通［2018］469);湖南省重点实验室项目(2016TP1020);衡阳师范学院“智能信息处理与应用湖南省重点实验室”开放基金(IIPA19K07)
- DOI：10.13471/j.cnki.acta.snus.2020.07.29.2020A037
  中图分类号： O175.27
- 纸质出版日期：2021-11-25，
  
  网络出版日期：2021-01-09，
  
  收稿日期：2020-07-29，
  
  录用日期：2020-10-14
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曾云辉,汪安宁,汪志红等.具无界中立系数的三阶Emden-Fowler微分方程的弱振动性[J].中山大学学报(自然科学版),2021,60(06):169-179.

ZENG Yunhui,WANG Anning,WANG Zhihong,et al.Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(06):169-179.
曾云辉,汪安宁,汪志红等.具无界中立系数的三阶Emden-Fowler微分方程的弱振动性[J].中山大学学报(自然科学版),2021,60(06):169-179. DOI： 10.13471/j.cnki.acta.snus.2020.07.29.2020A037.

ZENG Yunhui,WANG Anning,WANG Zhihong,et al.Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2021,60(06):169-179. DOI： 10.13471/j.cnki.acta.snus.2020.07.29.2020A037.

摘要

研究一类具有无界中立系数的三阶Emden-Fowler微分方程解的弱振动性。通过引入参数函数和广义Riccati变换，运用积分平均技术和一些分析技巧，获得了方程所有解弱振动的几个新的振动准则，所得结果推广和完善了最近文献中的一些结果。

Abstract

The weak oscillation of solutions of third-order Emden-Fowler differential equations with unbounded neutral coefficients is studied. By introducing parameter function and the generalized Riccati transformations ， using integral averaging technique and some necessary technique， some new oscillation criteria which ensure that all solutions of the studied equation weakly oscillates are obtained. The results generalize and perfect a number of related results in the literature recently.

关键词

三阶Emden-Fowler微分方程弱振动性非振动性

Keywords

third-orderEmden-Fowler differential equationweak oscillationnonoscillatory

references

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