New Oscillation Conditions Test for Neutral Differential Equations

被引：0
作者：
Bazighifan, Omar [1 ,2 ]
Al-Batati, Anwar [1 ]
Alshammari, Nawa [3 ]
Iambor, Loredana Florentina [4 ]
机构：
[1] Seiyun Univ, Fac Educ, Dept Math, Hadhramout, Yemen
[2] Jadara Univ, Jadara Res Ctr, Irbid 21110, Jordan
[3] Saudi Elect Univ, Dept Basic Sci, Coll Sci & Theoret Studies, Riyadh 11673, Saudi Arabia
[4] Univ Oradea, Dept Math & Comp Sci, Univ St, Oradea 410087, Romania
来源：
CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 04期
关键词：
oscillation conditions; second-order; delay differential equations; CRITERIA; BEHAVIOR; THEOREMS;
D O I：
10.37256/cm.5420245428
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we aim to explore the oscillation of solutions for second-order delay differential equations with multiple delays. Delay equations are characterized by being rich in both practical and theoretical aspects. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order differential equations. Finally, some illustrated examples are given to demonstrate the effectiveness of our new criteria.
引用
收藏
页码：5027 / 5035
页数：9
相关论文
共 26 条
  • [1] Agarwal R., 2000, OSCILLATION THEORY D
  • [2] Some remarks on oscillation of second order neutral differential equations
    Agarwal, Ravi P.
    Zhang, Chenghui
    Li, Tongxing
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 178 - 181
  • [3] Oscillation criteria for second-order retarded differential equations
    Agarwal, RP
    Shieh, SL
    Yeh, CC
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (04) : 1 - 11
  • [4] Agarwal S.R., 2000, OSCILLATION THEORY D, DOI [10.1007/978- 94-015-9401-1, 10.1007/978-94-015-9401-1]
  • [5] Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method
    Az-Zo'bi, Emad A.
    Al-Khaled, Kamel
    Darweesh, Amer
    [J]. MATHEMATICS, 2019, 7 (06)
  • [6] Numeric-analytic solutions of mixed-type systems of balance laws
    Az-Zo'bi, Emad A.
    Al Dawoud, Kamal
    Marashdeh, Mohammad
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 133 - 143
  • [7] Oscillation theorems for second-order nonlinear neutral differential equations
    Baculikova, B.
    Dzurina, J.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) : 4472 - 4478
  • [8] Oscillatory Behavior of Higher-Order DEs with Delay Terms
    Balatta, Shoura Ahmed
    Ismail, Eddie Shahril
    Hashim, Ishak
    Bataineh, Ahmad Sami
    Momani, Shaher
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (04): : 2234 - 2246
  • [9] Oscillation Criteria of Fourth-Order Differential Equations with Delay Terms
    Balatta, Shoura Ahmed
    Hashim, Ishak
    Bataineh, Ahmad Sami
    Ismail, Eddie Shahril
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [10] On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term
    Bazighifan, Omar
    Ramos, Higinio
    [J]. APPLIED MATHEMATICS LETTERS, 2020, 107
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