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Averaging principle
5
Distribution dependent stoc...
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3
Stochastic averaging princi...
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2
variable delays
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Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions
期刊论文
Journal of Evolution Equations,2024, 卷号: 24, 期号: 2
作者:
Shen, Guangjun
;
Zhou, Huan
;
Wu, Jiang Lun
收藏
  |  
浏览/下载:18/0
  |  
提交时间:2024/06/27
Distribution-dependent stochastic differential equations
Fractional Brownian motion
Large deviations principle
Weak convergence approach
On a Class of Distribution Dependent Stochastic Differential Equations Driven by Time-Changed Brownian Motions
期刊论文
Applied Mathematics and Optimization,2023, 卷号: 88, 期号: 2
作者:
Shen, Guangjun
;
Zhang, Tingting
;
Song, Jie
;
Wu, Jianglun
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2023/12/20
Averaging principle
Distribution dependent stochastic differential equations
Stability
Time-changed Brownian motions
Stochastic averaging principle for multi-valued McKean–Vlasov stochastic differential equations
期刊论文
Applied Mathematics Letters,2023, 卷号: 141
作者:
Shen, Guangjun
;
Xiang, Jie
;
Wu, Jianglun
收藏
  |  
浏览/下载:41/0
  |  
提交时间:2023/05/30
Multi-valued McKean–Vlasov stochastic differential equations
Stochastic averaging principle
Stochastic Averaging Principle for Two-Time-Scale SDEs with Distribution-Dependent Coefficients Driven by Fractional Brownian Motion
期刊论文
Communications in Mathematics and Statistics,2023
作者:
Shen, Guangjun
;
Yin, Jiayuan
;
Wu, Jianglun
收藏
  |  
浏览/下载:21/0
  |  
提交时间:2023/12/20
Averaging principle
Fast–slow systems
Fractional Brownian motion
Standard Brownian motion
Well-Posedness for Stochastic Fractional Navier–Stokes Equation in the Critical Fourier–Besov Space
期刊论文
Journal of Theoretical Probability,2022, 卷号: 35, 期号: 4, 页码: 2940-2959
作者:
Yin, Xiuwei
;
Wu, Jianglun
;
Shen, Guangjun
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2023/05/30
Fourier–Besov spaces
Stochastic fractional Navier–Stokes equation
Strong solutions
Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise
期刊论文
Acta Applicandae Mathematicae,2022, 卷号: 180, 期号: 1
作者:
Shen, Guangjun
;
Wu, Jianglun
;
Xiao, Ruidong
;
Zhan, Weijun
收藏
  |  
浏览/下载:8/0
  |  
提交时间:2023/05/30
Almost sure exponential stability
Fractional derivative of Riemann-Liouville type
Lévy noise
Moment exponential stability
Stochastic fractional differential equations with non-Lipschitz coefficients
Stochastic stability
The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation
期刊论文
Analysis and Applications,2022, 卷号: 20, 期号: 4, 页码: 777-789
作者:
Yin, Xiuwei
;
Shen, Guangjun
;
Wu, Jianglun
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/05/30
exponential stability
Quasilinear stochastic partial differential equations
stabilization
Averaging principle for distribution dependent stochastic differential equations driven by fractional Brownian motion and standard Brownian motion
期刊论文
Journal of Differential Equations,2022, 卷号: 321, 页码: 381-414
作者:
Shen, Guangjun
;
Xiang, Jie
;
Wu, Jianglun
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/05/30
Distribution dependent stochastic differential equations
Fractional Brownian motion
Stochastic averaging principle
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise
期刊论文
Stochastics and Dynamics,2022, 卷号: 22, 期号: 4
作者:
Shen, Guangjun
;
Wu, Jianglun
;
Xiao, Ruidong
;
Yin, Xiuwei
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/05/30
Averaging principle
fractional derivative
Lévy noise
variable delays
An Averaging Principle for Stochastic Differential Delay Equations Driven by Time-Changed Lévy Noise
期刊论文
Acta Mathematica Scientia,2022, 卷号: 42, 期号: 2, 页码: 540-550
作者:
Shen, Guangjun
;
Xu, Wentao
;
Wu, Jianglun
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/05/30
34C29
60H10
Averaging principle
stochastic differential equation
time-changed Lévy noise
variable delays