Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients

ZENG Yunhui; WANG Anning; WANG Zhihong; LUO Liping

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

您当前的位置：

首页 >

文章列表页 >

Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients

Research articles | 更新时间：2023-11-01

- Weak oscillation of third-order Emden-Fowler neutral differential equations with unbounded neutral coefficients
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 60, Issue 6, Pages: 169-179(2021)
- 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：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2020.07.29.2020A037
  CLC： O175.27
- Published：25 November 2021，
  
  Published Online：09 January 2021，
  
  Received：29 July 2020，
  
  Accepted：14 October 2020
扫描看全文
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

GRAEF J R， SAKER S H. Oscillation theory of third-order nonlinear functional differential equations ［J］. Math Hiroshima J， 2013， 43（24）： 49-72.

LI T , ROGOVCHENKO Y V. Asymptotic behavior of higher-order quasilinear neutral differential equations [J]. Abstract and Applied Analysis, 2014：Article ID 395368.

BACULIKOVA B， DZURINA J. Oscillation of third-order neutral differential equations ［J］. Math and Comp Mode，2010，52（12）： 215-226.

BACULIKOVA B， RANI B， SELVARANGAM S， et al.Properties of Kneser's solution for half-linear third order neutral differential equations，Acta Mathematica Hungarica， 2017， 152（2）： 525-533.

DOSLA Z， LISKA P. Oscillation of third-order nonlinear neutral differential equations ［J］.Applied Mathematics Letters， 2016， 56： 42-48.

DZURINA J， GRACE S R， JADLOVSKA I. On nonexistence of Kneser solutions of third-order neutral delay differential equations ［J］. Applied Mathematics Letters， 2019，88： 193-200.

GRACE S R， GRAEF J R， EL-BELTAGY M A. On the oscillation of third order neutral delay dynamic equations on time scales ［J］. Computers & Mathematics with Applications， 2012，63（4）： 775-782.

GRACE S R， GRAEF J R， TUNC E. Oscillatory behavior of a third-order neutral dynamic equation with distributed delays ［C］//in Proceedings of the 10th Colloquium on the Qualitative Theory of Differential Equations，Szeged，Hungary， 2016： 1-14.

GRACE S R， JADLOVSKA I. Oscillatory behavior of odd-order nonlinear differential equations with a nonpositive neutral term ［J］. Dynamic Systems and Applications，2018， 27（1）： 125-136.

HASSAN T S， GRACE S R. Oscillation criteria for third order neutral nonlinear dynamic equations with distributed deviating arguments on time scales ［J］. Tatra Mountains Mathematical Publications，2014，61（1）： 141-161.

JIANG Y, JIANG C, LI T. Oscillatory behavior of third-order nonlinear neutral delay differential equations [J]. Mathematics in Practice & Theory, 2009, 2016(1): 1-12.

LI T， TANDAPANI E. Oscillation of solutions to odd-order nonlinear neutral functional differential equations ［J］. Electronic Journal of Differential Equations， 2011： Article ID 23.

MIHALKOVA B. KOSTIKOVA E. Boundedness and oscillation of third order neutral differential equations ［J］. Tatra Mountains Mathematical Publications， 2009， 43（1）： 137-144.

LIN W. Oscillations of certain third order nonlinear neutral functional differential equations with damping ［J］. Acta Scientiarum Naturalium Universitatis Sunyatseni，2015， 54（6）： 53-56.

GRAEF J R， TUNC E， GRACE S R. Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation ［J］. Mathematica Opuscula，2017，37（6）： 839-852.

LI T， ZHANG C. Properties of third-order half-linear dynamic equations with an unbounded neutral coefficient ［J］. Advances in Difference Equations， 2013： Article ID 333.

TUNC E. Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments ［J］. Electronic Journal of Differential Equations，2017： Article ID 16.

CHATZARAKIS G E， GRACE S R， JADLOVSKA I， et al. Oscillation criteria for third-order Emden-Fowler differential equations with unbounded neutral coefficients ［J］. Hindawi Complexity，2019：Article ID 5691758.https：//doi.org/10.1155/2019/5691758https://doi.org/10.1155/2019/5691758.

ZHANG Z， WANG X， YU Y. Oscillation of third-order half-linear neutral differential equations with distributed delay ［J］. Acta Math Appl，2015，38（3）： 450-459.

CANDAN T. Oscillatory behavior of second-order nonlinear functional differential equations with distributed deviating arguments ［J］.Appl Math Comput， 2015， 262（15）： 199-203.

AGARWALR P， GRACE S R， O’REGAN D. Oscillation theory for difference and functional differential equations ［M］.Dordrecht： Marcel Dekker，Kluwer Academic， 2000.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

ZENGYunhui

Anning WANG

Zhihong WANG

Liping LUO

Related Institution

Nanyue College of Hengyang Normal University， Department of Mathematics and Computational Science

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰