Asymptotic behavior of even-order damped differential equations with p-Laplacian like operators and deviating arguments

被引:0
|
作者
Qingmin Liu
Martin Bohner
Said R Grace
Tongxing Li
机构
[1] Shandong Yingcai University,School of Information Engineering
[2] Missouri S&T,Department of Mathematics and Statistics
[3] Cairo University,Department of Engineering Mathematics, Faculty of Engineering
[4] Linyi University,LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing
[5] Linyi University,School of Informatics
关键词
asymptotic behavior; functional differential equation; even-order; damping term; -Laplacian equation; 34C10; 34K11;
D O I
暂无
中图分类号
学科分类号
摘要
We study the asymptotic properties of the solutions of a class of even-order damped differential equations with p-Laplacian like operators, delayed and advanced arguments. We present new theorems that improve and complement related contributions reported in the literature. Several examples are provided to illustrate the practicability, maneuverability, and efficiency of the results obtained. An open problem is proposed.
引用
收藏
相关论文
共 50 条
  • [21] Oscillation of fourth-order neutral differential equations with p-Laplacian like operators
    Li, Tongxing
    Baculikova, Blanka
    Dzurina, Jozef
    Zhang, Chenghui
    BOUNDARY VALUE PROBLEMS, 2014,
  • [22] Deviating arguments, impulsive effects, and positive solutions for second order singular p-Laplacian equations
    Xuemei Zhang
    Meiqiang Feng
    Advances in Difference Equations, 2015
  • [23] Deviating arguments, impulsive effects, and positive solutions for second order singular p-Laplacian equations
    Zhang, Xuemei
    Feng, Meiqiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [24] Periodic solutions for p-Laplacian differential equation with multiple deviating arguments
    Cheung, WS
    Ren, JL
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (04) : 727 - 742
  • [25] Asymptotics and oscillation of nth-order nonlinear differential equations with p-Laplacian like operators
    Zhang, Shao-Yan
    Wang, Qi-Ru
    Agarwal, Ravi P.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 16
  • [26] Asymptotics and oscillation of nth-order nonlinear differential equations with p-Laplacian like operators
    Shao-Yan Zhang
    Qi-Ru Wang
    Ravi P Agarwal
    Advances in Difference Equations, 2015
  • [27] Oscillation of even order partial differential equations with distributed deviating arguments
    Gui, Gaihua
    Xu, Zhiting
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 20 - 29
  • [28] Periodic Solutions for a Higher-order p-Laplacian Neutral Differential Equation with Multiple Deviating Arguments
    Moutaouekkil, Loubna
    Chakrone, Omar
    El Allali, Zakaria
    Taarabti, Said
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [29] Asymptotic and Oscillatory Analysis of Fourth-Order Nonlinear Differential Equations with p-Laplacian-like Operators and Neutral Delay Arguments
    Alatwi, Mansour
    Moaaz, Osama
    Albalawi, Wedad
    Masood, Fahd
    El-Metwally, Hamdy
    MATHEMATICS, 2024, 12 (03)
  • [30] ASYMPTOTIC DICHOTOMY IN A CLASS OF EVEN-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
    Lin, Jie-Xian
    Xu, Guo-Liang
    Wang, Gen-Qiang
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2014, 13 (01): : 57 - 65