Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

被引:1
|
作者
Wang, Yakun [1 ]
Meng, Fanwei [1 ]
Gu, Juan [2 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China
[2] Army Acad Armored Forces, Beijing, Peoples R China
基金
中国国家自然科学基金;
关键词
Third-order; Neutral differential equations; Oscillation; Riccati transformation; EVEN; BEHAVIOR;
D O I
10.1186/s13662-021-03661-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation criteria are established, which are based on a refinement generalized Riccati transformation. An important tool for this investigation is the integral averaging technique. Moreover, we provide an example to illustrate the main results.
引用
收藏
页数:15
相关论文
共 50 条
  • [21] Oscillatory behavior of third-order neutral delay differential equations with distributed deviating arguments
    Yibing Sun
    Yige Zhao
    Journal of Inequalities and Applications, 2019
  • [22] New oscillation criteria for second-order neutral differential equations with distributed deviating arguments
    Moaaz, Osama
    Park, Choonkil
    Elabbasy, Elmetwally M.
    Muhsin, Waed
    BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [23] New oscillation criteria for second-order neutral differential equations with distributed deviating arguments
    Osama Moaaz
    Choonkil Park
    Elmetwally M. Elabbasy
    Waed Muhsin
    Boundary Value Problems, 2021
  • [24] Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales
    Zhang, Zhiyu
    Feng, Ruihua
    Jadlovska, Irena
    Liu, Qingmin
    MATHEMATICS, 2021, 9 (05) : 1 - 18
  • [25] Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments
    Cuimei Jiang
    Ying Jiang
    Tongxing Li
    Advances in Difference Equations, 2016
  • [26] Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and distributed deviating arguments
    Jiang, Cuimei
    Jiang, Ying
    Li, Tongxing
    ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 14
  • [27] Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating arguments
    Sun, Yibing
    Zhao, Yige
    AIMS MATHEMATICS, 2020, 5 (05): : 5076 - 5093
  • [28] On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments
    Fu, Youliang
    Tian, Yazhou
    Jiang, Cuimei
    Li, Tongxing
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [29] Oscillation of neutral differential equations with distributed deviating arguments
    T. Candan
    B. Karpuz
    Ö. Öcalan
    Journal of Mathematical Sciences, 2012, 187 (4) : 444 - 457
  • [30] Oscillation Behavior of Third-Order Nonlinear Neutral Dynamic Equations on Time Scales with Distributed Deviating Arguments
    Senel, M. Tamer
    Utku, Nadide
    FILOMAT, 2014, 28 (06) : 1211 - 1223