Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations

被引:7
|
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] On stability of solutions of certain fourth-order delay differential equations
    Tunc, Cemil
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (08) : 1141 - 1148
  • [4] STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS
    Huiyan Kang (School of Math. and Physics
    Annals of Applied Mathematics, 2010, (04) : 407 - 413
  • [5] On stability of solutions of certain fourth-order delay differential equations
    Cemil Tunç
    Applied Mathematics and Mechanics, 2006, 27 : 1141 - 1148
  • [6] ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS
    Cemil Tunc
    Applied Mathematics and Mechanics(English Edition), 2006, (08) : 1141 - 1148
  • [7] OSCILLATION OF SOLUTIONS TO FOURTH-ORDER TRINOMIAL DELAY DIFFERENTIAL EQUATIONS
    Dzurina, Jozef
    Baculikova, Blanka
    Jadlovska, Irena
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [8] Kneser solutions of fourth-order trinomial delay differential equations
    Dzurina, J.
    Baculikova, B.
    Jadlovska, I.
    APPLIED MATHEMATICS LETTERS, 2015, 49 : 67 - 72
  • [9] Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions
    Agarwal, Ravi P.
    Bazighifan, Omar
    Ragusa, Maria Alessandra
    ENTROPY, 2021, 23 (02) : 1 - 10
  • [10] Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping
    Hou, Chengmin
    Cheng, Sui Sun
    ABSTRACT AND APPLIED ANALYSIS, 2009,