Exact solutions of differential equations with delay for dissipative systems

被引：0
|
作者：
Hasebe, K [1 ]
Nakayama, A
Sugiyama, Y
机构：
[1] Aichi Univ, Fac Business Adm, Aichi 4700296, Japan
[2] Gifu Keizai Univ, Gifu 5038550, Japan
[3] City Coll Mie, Div Math Sci, Tsu, Mie 5140112, Japan
来源：
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT | 2000年 / 138期
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam, which is characterized by Jacobi's elliptic function. The induced differential-difference equations are related to some soliton systems.
引用
收藏
页码：602 / 603
页数：2
相关论文
共 50 条
  • [1] Exact solutions of differential equations with delay for dissipative systems
    Hasebe, K
    Nakayama, A
    Sugiyama, Y
    PHYSICS LETTERS A, 1999, 259 (02) : 135 - 139
  • [2] Exact solutions of differential equations with delay for dissipative systems
    Hasebe, K.
    Nakayama, A.
    Sugiyama, Y.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1999, 259 (02): : 135 - 139
  • [3] Periodic solutions of dissipative functional differential equations with infinite delay
    Makay, G
    TOHOKU MATHEMATICAL JOURNAL, 1996, 48 (03) : 355 - 362
  • [4] Exact solutions to nonlinear delay differential equations of hyperbolic type
    Vyazmin, Andrei V.
    Sorokin, Vsevolod G.
    V INTERNATIONAL CONFERENCE ON PROBLEMS OF MATHEMATICAL AND THEORETICAL PHYSICS AND MATHEMATICAL MODELLING, 2017, 788
  • [5] Extremely exact solutions of large systems of differential equations
    Kunovsky, J
    Melkes, F
    MODELLING AND SIMULATION 2001, 2001, : 19 - 24
  • [6] EXACT AND APPROXIMATE SOLUTIONS OF RECTANGULAR SYSTEMS OF DIFFERENTIAL EQUATIONS
    LOVASSNA.V
    POWERS, DL
    SIAM REVIEW, 1974, 16 (01) : 131 - 131
  • [7] ON PERIODIC SOLUTIONS OF SYSTEMS OF LINEAR DIFFERENTIAL DELAY EQUATIONS
    MARTINYU.DI
    KHARABOV.LV
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1970, (03): : 217 - &
  • [8] Persistence and periodic solutions in systems of delay differential equations
    Amster, Pablo
    Bondorevsky, Melanie
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 403
  • [9] Periodic Solutions for Some Systems of Delay Differential Equations
    Jaume Llibre
    Alexandrina–Alina Tarţa
    Journal of Dynamics and Differential Equations, 2007, 19 : 199 - 213
  • [10] Periodic solutions for some systems of delay differential equations
    Llibre, Jaume
    Tarta, Alexandrina-Alina
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (01) : 199 - 213
12345