EXISTENCE OF MONOTONIC SOLUTIONS OF A NONLINEAR CAR-FOLLOWING EQUATION

被引：5
|
作者：
HARBAND, J [1 ]
机构：
[1] UNIV NEGEV,DEPT MATH,BEER SHEVA,ISRAEL
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1977年 / 57卷 / 02期
关键词：
D O I：
10.1016/0022-247X(77)90259-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：257 / 272
页数：16
相关论文
共 50 条
  • [1] CONTINUOUS SIMULATION OF A CAR-FOLLOWING EQUATION
    KAUFMAN, A
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1982, 24 (01) : 88 - 94
  • [2] A novel nonlinear car-following model
    Addison, PS
    Low, DJ
    [J]. CHAOS, 1998, 8 (04) : 791 - 799
  • [3] Nonlinear effects of saturation in the car-following model
    Kristof Martinovich
    Adam K. Kiss
    [J]. Nonlinear Dynamics, 2023, 111 : 2555 - 2569
  • [4] Nonlinear effects of saturation in the car-following model
    Martinovich, Kristof
    Kiss, Adam K.
    [J]. NONLINEAR DYNAMICS, 2023, 111 (03) : 2555 - 2569
  • [5] Stability analysis of a general nonlinear car-following model
    Du, Wenju
    Li, Yinzhen
    Zhang, Jiangang
    Yu, Jianning
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (06) : 1461 - 1469
  • [6] EXISTENCE AND NONEXISTENCE OF SEMIDISCRETE SHOCKS FOR A CAR-FOLLOWING MODEL IN TRAFFIC FLOW
    Ghorbel, A.
    Monneau, R.
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (06) : 3612 - 3639
  • [7] STOCHASTIC CAR-FOLLOWING MODEL FOR EXPLAINING NONLINEAR TRAFFIC PHENOMENA
    Meng, Jianping
    Song, Tao
    Dong, Liyun
    Dai, Shiqiang
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (08): : 1111 - 1120
  • [8] Asymptotic solutions for a multi-anticipative car-following model
    Wagner, C
    [J]. PHYSICA A, 1998, 260 (1-2): : 218 - 224
  • [9] Prediction of Car-Following Risk Status Based on Car-Following Behavior Spectrum
    Wang, Min
    Tu, Huizhao
    Li, Hao
    [J]. Tongji Daxue Xuebao/Journal of Tongji University, 2021, 49 (06): : 843 - 852
  • [10] Calibration of nonlinear car-following laws for traffic oscillation prediction
    Rhoades, Christine
    Wang, Xin
    Ouyang, Yanfeng
    [J]. TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2016, 69 : 328 - 342
12345