Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior

被引:6
|
作者
Al-Jaser, Asma [1 ]
Qaraad, Belgees [2 ]
Bazighifan, Omar [3 ]
Iambor, Loredana Florentina [4 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2 39, I-00186 Rome, Italy
[4] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania
关键词
neutral; second-order; distributed deviating arguments; oscillation; CRITERIA; PAPER;
D O I
10.3390/math11122605
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates for the non-oscillatory solutions of the studied equation. By using the Ricati technique and comparison theorems that compare the studied equations with first-order delay differential equations, we obtained new and less restrictive conditions that ensure the oscillation of all solutions of the studied equation. Further, we give an illustrative example.
引用
收藏
页数:15
相关论文
共 50 条
  • [31] Oscillatory behavior of second-order nonlinear neutral differential equations
    Liu, Jun
    Liu, Xi
    Yu, Yuanhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [32] Oscillation of second-order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
    Shao-Yan Zhang
    Qi-Ru Wang
    Advances in Difference Equations, 2015
  • [33] Oscillation of second-order nonlinear neutral dynamic equations with distributed deviating arguments on time scales
    Zhang, Shao-Yan
    Wang, Qi-Ru
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 11
  • [34] Oscillation of second-order nonlinear neutral dynamic equations on time scales with distributed deviating arguments
    Candan, T.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4118 - 4125
  • [35] Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments
    Candan, T.
    Dahiya, R. S.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1309 - 1316
  • [36] Chaplygin's method for second-order neutral differential equations with piecewise constant deviating arguments
    Lobo, Jervin Zen
    Tikare, Sanket
    Khuddush, Mahammad
    JOURNAL OF ANALYSIS, 2023,
  • [37] Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations
    Grace, Said R.
    Graef, John R.
    Li, Tongxing
    Tunc, Ercan
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2023, 15 (02) : 259 - 271
  • [38] Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
    Yazhou Tian
    Yuanli Cai
    Youliang Fu
    Tongxing Li
    Advances in Difference Equations, 2015
  • [39] Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
    Tian, Yazhou
    Cai, Yuanli
    Fu, Youliang
    Li, Tongxing
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [40] OSCILLATION RESULTS FOR SECOND ORDER NEUTRAL DYNAMIC EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS
    Tunc, Ercan
    Graef, John R.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (2-3): : 289 - 303