Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Cheng, Mengyu"'
In this paper, we investigate the convergence rate of the averaging principle for stochastic differential equations (SDEs) with $\beta$-H\"older drift driven by $\alpha$-stable processes. More specifically, we first derive the Schauder estimate for n
Externí odkaz:
http://arxiv.org/abs/2409.12706
We investigate three types of averaging principles and the normal deviation for multi-scale stochastic differential equations (in short, SDEs) with polynomial nonlinearity. More specifically, we first demonstrate the strong convergence of the solutio
Externí odkaz:
http://arxiv.org/abs/2308.10751
In this paper, we study the averaging principle for distribution dependent stochastic differential equations with drift in localized $L^p$ spaces. Using Zvonkin's transformation and estimates for solutions to Kolmogorov equations, we prove that the s
Externí odkaz:
http://arxiv.org/abs/2207.12108
Averaging principle is an effective method for investigating dynamical systems with highly oscillating components. In this paper, we study three types of averaging principle for stochastic complex Ginzburg-Landau equations. Firstly, we prove that the
Externí odkaz:
http://arxiv.org/abs/2203.02405
Autor:
Wang, Ruiying, Yin, Junping, Li, Jian, Bai, Xueli, Liu, Hu, Cheng, Mengyu, Wang, Lei, Chen, Yuan, Wei, Shuang, Liu, Xiansheng
Publikováno v:
In Heliyon 15 September 2024 10(17)
Autor:
Cheng, Mengyu, Liu, Zhenxin
In this paper, we establish the second Bogolyubov theorem and global averaging principle for stochastic partial differential equations (in short, SPDEs) with monotone coefficients. Firstly, we prove that there exists a unique $L^{2}$-bounded solution
Externí odkaz:
http://arxiv.org/abs/2109.00371
Autor:
Duan Wei, Cheng Mengyu
Publikováno v:
Open Life Sciences, Vol 18, Iss 1, Pp 2227-42 (2023)
Externí odkaz:
https://doaj.org/article/b4e202e505c54d7488a6cb912d9fb7b5
Autor:
Cheng, Mengyu, Liu, Zhenxin
In this paper, we use the variational approach to investigate recurrent properties of solutions for stochastic partial differential equations, which is in contrast to the previous semigroup framework. Consider stochastic differential equations with m
Externí odkaz:
http://arxiv.org/abs/1911.02169
Publikováno v:
In World Neurosurgery December 2023 180:e149-e157
Publikováno v:
In Journal of Differential Equations 25 September 2023 368:58-104