Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition

被引:14
|
作者
Liu, Dezhi [1 ,2 ]
Wang, Weiqun [1 ]
Ignatyev, Oleksiy [3 ]
Zhang, Wei [2 ]
机构
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
[2] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China
[3] Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA
关键词
stochastic asymptotic stability; partial; Markov chain; neutral; functional differential equation; DELAY EQUATIONS;
D O I
10.1186/1687-1847-2012-220
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching (NSFDEwMSs) has been investigated, the sufficient conditions for partial stochastic asymptotic stability have been given. We have used the boundary condition and to replace the condition and have generalized some results of Sharov and Ignatyev to cover a class of much more general NSFDEwMSs. MSC: 39A11, 60H10, 37H10.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 50 条
  • [31] 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
  • [32] Asymptotic stability of neutral stochastic pantograph systems with Markovian switching
    Zou, Zihan
    Song, Yinfang
    Zhu, Quanxin
    Zhao, Chi
    INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (06) : 1311 - 1324
  • [33] Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching
    Yang, Hua
    Jiang, Feng
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [34] Stability of neutral stochastic functional differential equations with Markovian switching driven by G-Brownian motion
    Li, Guangjie
    Yang, Qigui
    APPLICABLE ANALYSIS, 2018, 97 (15) : 2555 - 2572
  • [35] β-Stability in q-th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching
    Mchiri, Lassaad
    Rhaima, Mohamed
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [36] Exponential Stability of Neutral Stochastic Functional Differential Equations with Two-Time-Scale Markovian Switching
    Hu, Junhao
    Xu, Zhiying
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [37] Asymptotic stability of neutral stochastic functional integro-differential equations
    Diop, Mamadou Abdoul
    Caraballo, Tomas
    ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2015, 20 : 1 - 14
  • [38] Stability analysis of stochastic differential equations with Markovian switching
    Zhu, Fubo
    Han, Zhengzhi
    Zhang, Junfeng
    SYSTEMS & CONTROL LETTERS, 2012, 61 (12) : 1209 - 1214
  • [39] Stability of impulsive stochastic differential equations with Markovian switching
    Xu, Yan
    He, Zhimin
    APPLIED MATHEMATICS LETTERS, 2014, 35 : 35 - 40
  • [40] A CLASS OF STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MARKOVIAN SWITCHING
    Hu, Yangzi
    Wu, Fuke
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 23 (02) : 223 - 252