Diagonal dominance and harmless off-diagonal delays

被引：66
|
作者：
Hofbauer, J [1 ]
So, JWH
机构：
[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria
[2] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 09期
关键词：
D O I：
10.1090/S0002-9939-00-05564-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Systems of linear differential equations with constant coefficients, as well as Lotka-Volterra equations, with delays in the off-diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.
引用
收藏
页码：2675 / 2682
页数：8
相关论文
共 50 条
  • [1] Harmless off-diagonal delays in delay differential equations
    Kumar, Ravinder
    Singh, Yogendra
    [J]. INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2022, 12 (05) : 402 - 411
  • [2] Off-diagonal generalized vector dominance in DIS and QCD
    Cvetic, G
    Schildknecht, D
    Shoshi, A
    [J]. ACTA PHYSICA POLONICA B, 1999, 30 (11): : 3265 - 3284
  • [3] Diagonal input for the evolution of off-diagonal partons
    Golec-Biernat, KJ
    Martin, AD
    Ryskin, MG
    [J]. PHYSICS LETTERS B, 1999, 456 (2-4) : 232 - 239
  • [4] Off-diagonal condition
    Rodrigues, W.
    Garcia, A. R. G.
    Juriaans, S. O.
    Silva, J. C.
    [J]. MONATSHEFTE FUR MATHEMATIK, 2022, 198 (02): : 465 - 482
  • [5] DIAGONAL AND OFF-DIAGONAL DISORDER IN DOPED SEMICONDUCTORS
    DACUNHALIMA, IC
    FABBRI, M
    DASILVA, AF
    [J]. PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1982, 111 (02): : K69 - K74
  • [6] Off-diagonal condition
    W. Rodrigues
    A. R. G. Garcia
    S. O. Juriaans
    J. C. Silva
    [J]. Monatshefte für Mathematik, 2022, 198 : 465 - 482
  • [7] OFF-DIAGONAL GENERALIZED VECTOR DOMINANCE AND INELASTIC EP SCATTERING
    FRAAS, H
    READ, BJ
    SCHILDKNECHT, D
    [J]. NUCLEAR PHYSICS B, 1975, B 86 (02) : 346 - 354
  • [8] Extrapolated Diagonal and Off-Diagonal Splitting Iteration Method
    Shokrpour, Raheleh
    Ebadi, Ghodrat
    [J]. FILOMAT, 2022, 36 (08) : 2749 - 2759
  • [9] THE CONDUCTIVITY OF SYSTEMS WITH STRONG DIAGONAL AND OFF-DIAGONAL DISORDER
    BELITZ, D
    GOTZE, W
    [J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1981, 26 (03): : 411 - 411
  • [10] TRANSPORT IN MODELS WITH CORRELATED DIAGONAL AND OFF-DIAGONAL DISORDER
    FLORES, JC
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (44) : 8471 - 8479
12345