LYAPUNOV-TYPE INEQUALITIES FOR CERTAIN HIGHER-ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS

被引:4
|
作者
Liu, Haidong [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 04期
关键词
Lyapunov-type inequalities; Sobolev inequality; Riemann zeta function; half-linear differential equation; DYNAMIC INTEGRAL-INEQUALITIES; DELAY; MODEL;
D O I
10.7153/jmi-2019-13-82
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we will establish some new Lyapunov-type inequalities for some higher-order half-linear differential equations with anti-periodic boundary conditions. Our results not only improve the results in [9] for some cases, but also extend the results of [11].
引用
收藏
页码:1159 / 1170
页数:12
相关论文
共 50 条
  • [31] The higher-order Picone identity and comparison of half-linear differential equations of even order
    Jaros, Jaroslav
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) : 7513 - 7518
  • [32] Properties of higher-order half-linear functional differential equations with noncanonical operators
    Chenghui Zhang
    Ravi P Agarwal
    Martin Bohner
    Tongxing Li
    Advances in Difference Equations, 2013
  • [33] Properties of higher-order half-linear functional differential equations with noncanonical operators
    Zhang, Chenghui
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    ADVANCES IN DIFFERENCE EQUATIONS, 2013, 2013
  • [34] Nonoscillation of higher order half-linear differential equations
    Dosly, Ondrej
    Ruzicka, Vojtech
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (19) : 1 - 15
  • [35] New Lyapunov-type inequalities for a class of even-order linear differential equations
    Yang, Xiaojing
    Lo, Kueiming
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (16) : 1910 - 1915
  • [36] Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions
    Srivastava, Satyam narayan
    Pati, Smita
    Graef, John r.
    Domoshnitsky, Alexander
    Padhi, Seshadev
    CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (02): : 259 - 277
  • [37] On multivariate higher order Lyapunov-type inequalities
    Tieguo Ji
    Jie Fan
    Journal of Inequalities and Applications, 2014
  • [38] Oscillation of certain second order half-linear differential equations
    Agarwal, RP
    Grace, SR
    DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 2, 2002, : 11 - 18
  • [39] On multivariate higher order Lyapunov-type inequalities
    Ji, Tieguo
    Fan, Jie
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [40] On the oscillation of higher-order half-linear delay difference equations
    Bolat, Yaar
    Alzabut, Jehad O.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2012, 6 (03): : 423 - 427