Sharp oscillation criteria for second-order neutral delay differential equations

被引:43
|
作者
Bohner, Martin [1 ]
Grace, Said R. [2 ]
Jadlovska, Irena [3 ]
机构
[1] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO USA
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza, Egypt
[3] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, B Nemcovej 32, Kosice 04200, Slovakia
关键词
delay; half-linear neutral differential equation; oscillation; second order;
D O I
10.1002/mma.6677
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.
引用
收藏
页码:10041 / 10053
页数:13
相关论文
共 50 条
  • [21] New Oscillation Criteria for Second Order Quasilinear Neutral Delay Differential Equations
    N. Prabaharan
    C. Dharuman
    E. Thandapani
    S. Pinelas
    Differential Equations and Dynamical Systems, 2023, 31 : 945 - 956
  • [22] Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term
    Dzurina, Jozef
    Grace, Said R.
    Jadlovska, Irena
    Li, Tongxing
    MATHEMATISCHE NACHRICHTEN, 2020, 293 (05) : 910 - 922
  • [23] New Oscillation Criteria for Second Order Quasilinear Neutral Delay Differential Equations
    Prabaharan, N.
    Dharuman, C.
    Thandapani, E.
    Pinelas, S.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023, 31 (04) : 945 - 956
  • [24] OSCILLATION CRITERIA FOR SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
    Gui, Gaihua
    Xu, Zhiting
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [25] Oscillation of second-order Emden-Fowler neutral delay differential equations
    Agarwal, Ravi P.
    Bohner, Martin
    Li, Tongxing
    Zhang, Chenghui
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2014, 193 (06) : 1861 - 1875
  • [26] An improved approach for studying oscillation of second-order neutral delay differential equations
    Grace, Said R.
    Dzurina, Jozef
    Jadlovska, Irena
    Li, Tongxing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [27] Oscillation criteria for second-order superlinear Emden–Fowler neutral differential equations
    Tongxing Li
    Yuriy V. Rogovchenko
    Monatshefte für Mathematik, 2017, 184 : 489 - 500
  • [28] An improved approach for studying oscillation of second-order neutral delay differential equations
    Said R. Grace
    Jozef Džurina
    Irena Jadlovská
    Tongxing Li
    Journal of Inequalities and Applications, 2018
  • [29] Oscillation of second-order nonlinear neutral differential equations
    Lin, XY
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 442 - 452
  • [30] Interval criteria for oscillation of second-order nonlinear neutral differential equations
    Yang, QG
    Yang, LJ
    Zhu, SM
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (5-6) : 903 - 918