Two unsolved problems in the stability theory of stochastic differential equations with delay

被引:2
|
作者
Shaikhet, Leonid [1 ]
机构
[1] Donetsk State Univ Management, Dept Higher Math, UA-83015 Donetsk, Ukraine
关键词
Unsolved problems; Stability; Stochastic differential equations; Delay; Necessary and sufficient condition;
D O I
10.1016/j.aml.2011.10.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two unsolved problems of the stability theory for stochastic differential equations with delay are offered for consideration. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:636 / 637
页数:2
相关论文
共 50 条
  • [21] Advances in nonlinear hybrid stochastic differential delay equations: Existence, boundedness and stability
    Hu, Junhao
    Mao, Wei
    Mao, Xuerong
    AUTOMATICA, 2023, 147
  • [22] A note on attraction and stability of neutral stochastic delay differential equations with Markovian switching
    Song, Yinfang
    Yin, Quan
    Shen, Yi
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (08) : 1401 - 1410
  • [23] Stability analysis of neutral stochastic differential delay equations driven by Levy noises
    Wan, Fangzhe
    Hu, Po
    Chen, Huabin
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 375
  • [24] Exponential stability analysis in mean square for a class of stochastic delay differential equations
    Guo, Yingxin
    Ge, Shuzhi Sam
    Ma, Yue
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (03) : 2507 - 2520
  • [25] Stability analysis of a class of fractional delay differential equations
    SACHIN B BHALEKAR
    Pramana, 2013, 81 : 215 - 224
  • [26] Stability of impulsive linear differential equations with time delay
    Zhang, Y
    Sun, JT
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (10) : 701 - 705
  • [27] Stability analysis of a class of fractional delay differential equations
    Bhalekar, Sachin B.
    PRAMANA-JOURNAL OF PHYSICS, 2013, 81 (02): : 215 - 224
  • [28] On stability of systems of delay differential equations
    Cahlon, B
    Schmidt, D
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 117 (02) : 137 - 158
  • [29] Stability of uncertain delay differential equations
    Wang, Xiao
    Ning, Yufu
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2655 - 2664
  • [30] Stability of Solutions of Delay Differential Equations
    Yskak T.
    Siberian Advances in Mathematics, 2023, 33 (3) : 253 - 260