Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations

被引：9
|
作者：
Cesarano, Clemente [1 ]
Pinelas, Sandra [2 ]
Al-Showaikh, Faisal [3 ]
Bazighifan, Omar [4 ]
机构：
[1] Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio Emanuele II 39, I-00186 Rome, Italy
[2] RUDN Univ, 6 Miklukho Maklaya Str, Moscow 117198, Russia
[3] Univ Bahrain, Fac Sci, Dept Math, Zallaq 1051, Bahrain
[4] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 05期
关键词：
fourth-order; nonoscillatory solutions; oscillatory solutions; delay differential equations; OSCILLATION CRITERIA;
D O I：
10.3390/sym11050628
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In the paper, we study the oscillation of fourth-order delay differential equations, the present authors used a Riccati transformation and the comparison technique for the fourth order delay differential equation, and that was compared with the oscillation of the certain second order differential equation. Our results extend and improve many well-known results for oscillation of solutions to a class of fourth-order delay differential equations. Some examples are also presented to test the strength and applicability of the results obtained.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Delay Differential Equations of Fourth-Order: Oscillation and Asymptotic Properties of Solutions
    Bazighifan, Omar
    Al-Kandari, Maryam
    Al-Ghafri, Khalil S.
    Ghanim, F.
    Askar, Sameh
    Oros, Georgia Irina
    SYMMETRY-BASEL, 2021, 13 (11):
  • [2] Neutral Differential Equations of Fourth-Order: New Asymptotic Properties of Solutions
    Muhib, Ali
    Moaaz, Osama
    Cesarano, Clemente
    Askar, Sameh
    Elabbasy, Elmetwally M.
    AXIOMS, 2022, 11 (02)
  • [3] Fourth-Order Differential Equations: Asymptotic and Oscillatory Behaviors of Solutions
    Almutairi, Alanoud
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [4] On the asymptotic behavior of fourth-order functional differential equations
    Moaaz, Osama
    Elabbasy, Elmetwally M.
    Bazighifan, Omar
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [5] Kneser solutions of fourth-order trinomial delay differential equations
    Dzurina, J.
    Baculikova, B.
    Jadlovska, I.
    APPLIED MATHEMATICS LETTERS, 2015, 49 : 67 - 72
  • [6] On the asymptotic behavior of fourth-order functional differential equations
    Osama Moaaz
    Elmetwally M Elabbasy
    Omar Bazighifan
    Advances in Difference Equations, 2017
  • [7] Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay
    Cesarano, Clemente
    Bazighifan, Omar
    AXIOMS, 2019, 8 (02)
  • [8] On the oscillation of fourth-order delay differential equations
    Grace, Said R.
    Dzurina, Jozef
    Jadlovska, Irena
    Li, Tongxing
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [9] On the oscillation of fourth-order delay differential equations
    Said R. Grace
    Jozef Džurina
    Irena Jadlovská
    Tongxing Li
    Advances in Difference Equations, 2019
  • [10] Kamenev-Type Asymptotic Criterion of Fourth-Order Delay Differential Equation
    Bazighifan, Omar
    FRACTAL AND FRACTIONAL, 2020, 4 (01) : 1 - 10
12345