user

Amended oscillation criteria for second-order neutral differential equations with damping term

被引：9
|
作者：
Moaaz, Osama [1 ]
Chatzarakis, George E. [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
Cesarano, Clemente [6 ]
Nabih, Amany [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura, Egypt
[2] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educ, Athens, Greece
[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung, Taiwan
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
[6] Int Telemat Univ Uninettuno, Sect Math, CorsoVittorio Emanuele 2, Rome, Italy
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Amended criteria for oscillation; Second-order differential equations; Neutral delay; Damping term; THEOREMS;
D O I：
10.1186/s13662-020-03013-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to improve the oscillation results for second-order neutral differential equations with damping term. We consider the noncanonical case which always leads to two independent conditions for oscillation. We are working to improve related results by simplifying the conditions, based on taking a different approach that leads to one condition. Moreover, we obtain different forms of conditions to expand the application area. An example is also given to demonstrate the applicability and strength of the obtained conditions over known ones.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Amended oscillation criteria for second-order neutral differential equations with damping term
    Osama Moaaz
    George E. Chatzarakis
    Thabet Abdeljawad
    Clemente Cesarano
    Amany Nabih
    [J]. Advances in Difference Equations, 2020
  • [2] ON OSCILLATION OF SECOND-ORDER LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM
    Tunc, Ercan
    Kaymaz, Adil
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (02): : 289 - 301
  • [3] Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term
    Ouyang, Zigen
    Zhong, Jichao
    Zou, Shuliang
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2009,
  • [4] Oscillation criteria for second-order nonlinear differential equations with damping
    Rogovchenko, Yuri V.
    Tuncay, Fatos
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (01) : 208 - 221
  • [5] OSCILLATION CRITERIA FOR NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DAMPING
    Cakmak, D.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2008, 60 (05) : 799 - 809
  • [6] Oscillation criteria for nonlinear second-order differential equations with damping
    D. Çakmak
    [J]. Ukrainian Mathematical Journal, 2008, 60 : 799 - 809
  • [7] OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
    El-Sheikh, M. M. A.
    Sallam, R. A.
    Elimy, D. I.
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 8 (02): : 127 - 142
  • [8] Oscillation criteria for second-order neutral delay differential equations
    Bohner, Martin
    Grace, Said R.
    Jadlovska, Irena
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (60) : 1 - 12
  • [9] Oscillation Criteria for Second-Order Superlinear Neutral Differential Equations
    Li, Tongxing
    Han, Zhenlai
    Zhang, Chenghui
    Li, Hua
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [10] On oscillation of nonlinear second-order differential equations with damping term
    Mustafa, OG
    Rogovchenko, SP
    Rogovchenko, YV
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (02) : 604 - 620
12345