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STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载:126/0  |  提交时间:2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 1, 页码: 194-218
作者:  Geng, Yidan;  Song, Minghui;  Lu, Yulan;  Liu, Mingzhu
收藏  |  浏览/下载:179/0  |  提交时间:2021/01/14
Stochastic differential equations with piecewise continuous argument  local Lipschitz condition  Khasminskii-type condition  truncated Euler-Maruyama method  convergence and stability  
Numerical stability and oscillation of the Runge-Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type 期刊论文
Journal of Inequalities and Applications, 2012, 卷号: 2012, 期号: 1
作者:  Song,Minghui;  Liu,Mingzhu
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
stability  oscillation  delay differential equation  piecewise continuous arguments  
Stability of theta-methods for advanced differential equations with piecewise continuous arguments 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 49, 期号: 9-10, 页码: 1295-1301
作者:  Song, MH;  Yang, ZW;  Liu, MZ
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
delay differential equations  piecewise continuous arguments  asymptotic stability