Oscillatory Behavior of Fourth-Order Differential Equations with Neutral Delay

被引：30
|
作者：
Moaaz, Osama [1 ]
El-Nabulsi, Rami Ahmad [2 ,3 ]
Bazighifan, Omar [4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Athens Inst Educ & Res, Div Math, Athens 10671, Greece
[3] Athens Inst Educ & Res, Div Phys, Athens 10671, Greece
[4] Hadhramout Univ, Fac Sci, Dept Math, Hadhramout 50512, Yemen
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 03期
关键词：
fourth-order differential equations; neutral delay; oscillation;
D O I：
10.3390/sym12030371
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 this paper, new sufficient conditions for oscillation of fourth-order neutral differential equations are established. One objective of our paper is to further improve and complement some well-known results which were published recently in the literature. Symmetry ideas are often invisible in these studies, but they help us decide the right way to study them, and to show us the correct direction for future developments. An example is given to illustrate the importance of our results.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
    Almutairi, Alanoud
    Bazighifan, Omar
    Almarri, Barakah
    Aiyashi, M. A.
    Nonlaopon, Kamsing
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [22] Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay
    Ardjouni, Abdelouaheb
    Rezaiguia, Ali
    Djoudi, Ahcene
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2014, 3 (03) : 157 - 163
  • [23] 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
  • [24] On stability of solutions of certain fourth-order delay differential equations
    Tunc, Cemil
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2006, 27 (08) : 1141 - 1148
  • [25] Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations
    Cesarano, Clemente
    Pinelas, Sandra
    Al-Showaikh, Faisal
    Bazighifan, Omar
    [J]. SYMMETRY-BASEL, 2019, 11 (05):
  • [26] On oscillatory and asymptotic behavior of fourth order non-linear neutral delay dynamic equations
    Panigrahi, S.
    Reddy, P. Rami
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4258 - 4271
  • [27] On the asymptotic behavior of fourth-order functional differential equations
    Osama Moaaz
    Elmetwally M Elabbasy
    Omar Bazighifan
    [J]. Advances in Difference Equations, 2017
  • [28] STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS
    Huiyan Kang (School of Math. and Physics
    [J]. Annals of Applied Mathematics, 2010, (04) : 407 - 413
  • [29] STABILITY OF SOLUTIONS TO CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS
    Huiyan Kang School of Math and Physics Changzhou University Changzhou Jiangsu Ligeng Si Dept of Math Inner Mongolia Normal University Huhhot
    [J]. Annals of Differential Equations, 2010, 26 (04) - 413
  • [30] On stability of solutions of certain fourth-order delay differential equations
    Cemil Tunç
    [J]. Applied Mathematics and Mechanics, 2006, 27 : 1141 - 1148
12345