THE CRITERIA FOR OSCILLATION OF TWO-DIMENSIONAL NEUTRAL DELAY DYNAMICAL SYSTEMS ON TIME SCALES

被引：1
作者：
Sun, Zhongfeng [1 ]
Qin, Huizeng [1 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Div Dynam & Control, Zibo 255000, Shandong, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Time Scales; Oscillation; Neutral Delay; Dynamic System; Riccati Transformation; PERIODIC-SOLUTIONS; EQUATIONS; EXISTENCE; THEOREMS; MODEL;
D O I：
10.1142/S0218348X22400527
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The neutral delay model has many applications in biology, ecology, man-made neural networks, mechanics and engineering. The main purpose of this paper is to establish new oscillation criteria for the two-dimensional neutral delay dynamical system {Z(Delta)(t) = b(t)g{r(t)psi[x(t)]y[eta(t)]}, y Delta(t) = -f(t, x[delta(t)]), on a time scale T, where z(t) = x(t) + p(t)x[tau(t)] and a, r, p are positive rd-continuous functions, T, delta, n : T -> T, are in accordance with the definition given by S. H. Saker, Oscillation of nonlinear dynamic equations on time scales, Appl. Math. Compd. 148 (2004) 81-91.
引用
收藏
页数：12
相关论文
共 30 条
  • [1] Dynamic equations on time scales: a survey
    Agarwal, R
    Bohner, M
    O'Regan, D
    Peterson, A
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) : 1 - 26
  • [2] Oscillation Criteria for Four-Dimensional Time-Scale Systems
    Akin, Elvan
    Yeni, Gulsah
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (05)
  • [3] Effect of leakage delay on finite time boundedness of impulsive high-order neutral delay generalized neural networks
    Alimi, Adel M.
    Aouiti, Chaouki
    Miaadi, Foued
    [J]. NEUROCOMPUTING, 2019, 347 : 34 - 45
  • [4] Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string
    Balanov, AG
    Janson, NB
    McClintock, PVE
    Tucker, RW
    Wang, CHT
    [J]. CHAOS SOLITONS & FRACTALS, 2003, 15 (02) : 381 - 394
  • [5] State-dependent neutral delay equations from population dynamics
    Barbarossa, M. V.
    Hadeler, K. P.
    Kuttler, C.
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2014, 69 (04) : 1027 - 1056
  • [6] Oscillation Criteria for Third-Order Emden-Fowler Differential Equations with Unbounded Neutral Coefficients
    Chatzarakis, George E.
    Grace, Said R.
    Jadlovska, Irena
    Li, Tongxing
    Tunc, Ercan
    [J]. COMPLEXITY, 2019, 2019
  • [7] Oscillation of second-order Emden-Fowler neutral delay dynamic equations on time scales
    Chen, Da-Xue
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2010, 51 (9-10) : 1221 - 1229
  • [8] Sufficient conditions for the existence positive periodic solutions of a class of neutral delay models with feedback control
    Chen, FD
    Lin, FX
    Chen, XX
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 45 - 68
  • [9] Periodic solution of a neutral delay model of single-species population growth on time scales
    Du, Bo
    Hu, Xueping
    Ge, Weigao
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (02) : 394 - 400
  • [10] Two Positive Periodic Solutions for a Neutral Delay Model of Single-Species Population Growth with Harvesting
    Fang, Hui
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
123