An asymptotic criterion for third-order dynamic equations with positive and negative coefficients

被引:0
|
作者
Utku, Nadide [1 ]
Li, Tongxing [2 ]
Senel, M. Tamer [3 ]
机构
[1] Erciyes Univ, Inst Sci, TR-38039 Kayseri, Turkey
[2] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China
[3] Erciyes Univ, Dept Math, Fac Sci, TR-38039 Kayseri, Turkey
来源
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2015年 / 44卷 / 05期
关键词
asymptotic behavior; third-order dynamic equation; linear equation; positive and negative coefficients; time scale; DELAY-DIFFERENTIAL EQUATIONS; NEHARI TYPE CRITERIA; OSCILLATION; 2ND-ORDER; BEHAVIOR; HILLE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish a criterion for the asymptotic properties of all bounded solutions to a class of third-order linear dynamic equations with positive and negative coefficients. New theorem improves and complements the related results reported in the literature. An example is provided to illustrate the main results.
引用
收藏
页码:1157 / 1162
页数:6
相关论文
共 50 条
  • [1] Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients
    Huang, Xianyong
    Deng, Xun-Huan
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [2] Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients
    Xianyong Huang
    Xun-Huan Deng
    Advances in Difference Equations, 2019
  • [3] Oscillation and asymptotic behavior of third-order nonlinear delay differential equations with positive and negative terms
    Deng, Xun-Huan
    Huang, Xianyong
    Wang, Qi-Ru
    APPLIED MATHEMATICS LETTERS, 2022, 129
  • [4] Asymptotic properties of solutions of certain third-order dynamic equations
    Wang, Yuanfeng
    Xu, Zhiting
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (09) : 2354 - 2366
  • [5] OSCILLATORY AND ASYMPTOTIC BEHAVIOUR OF SECOND ORDER NEUTRAL DYNAMIC EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS
    Panigrahi, Saroj
    Tunc, Ercan
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2016, 8 (02): : 207 - 223
  • [6] Asymptotic behaviour of neutral differential equations of third-order with negative term
    Dosla, Zuzana
    Liska, Petr
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (114) : 1 - 18
  • [7] Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations
    Agarwal, Ravi P.
    Bohner, Martin
    Tang, Shuhong
    Li, Tongxing
    Zhang, Chenghui
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (08) : 3600 - 3609
  • [8] Asymptotic properties of solutions of third-order nonlinear neutral dynamic equations
    Tuncay Candan
    Advances in Difference Equations, 2014
  • [9] Asymptotic properties of solutions of third-order nonlinear neutral dynamic equations
    Candan, Tuncay
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [10] Asymptotic behavior of third-order functional differential equations with a negative middle term
    Jozef Džurina
    Irena Jadlovská
    Advances in Difference Equations, 2017