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20092022
most citedTwo-time-scale stochastic partial differential equations driven by -stable noises: Averaging principles

80 citations · 182 across the 44 of their papers we have counts for

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Showing 2015 · math.PRShow all

5 papers · 2 filters

math.PR2015★ 1 cited

Convergence of EM Scheme for Neutral Stochastic Differential Delay Equations

Yanting Ji, Jianhai Bao, Chenggui Yuan

In this paper, we are concerned with convergence rate of Euler-Maruyama (EM) scheme for stochastic differential delay equations (SDDEs) of neutral type, where the neutral term, the…

math.PR2015

A Strong Limit Theorem for Two-Time-Scale Fucntional Stochastic Differential Equations

Jianhai Bao, Qingshuo Song, George Yin +1

This paper focuses on a class of two-time-scale functional stochastic differential equations, where the phase space of the segment processes is infinite-dimensional. It develops er…

math.PR2015

Permanence and extinction of regime-switching predator-prey models

Jianhai Bao, Jinghai Shao

In this work we study the permanence and extinction of a regime-switching predator-prey model with Beddington-DeAngelis functional response. The switching process is used to descri…

math.PR2015

Hypercontractivity for Functional Stochastic Partial Differential Equations

Jianhai Bao, Feng-Yu Wang, Chenggui Yuan

Explicit sufficient conditions on the hypercontractivity are presented for two classes of functional stochastic partial differential equations driven by, respectively, non-degenera…

math.PR2015

Hypercontractivity and Its Applications for Functional SDEs of Neutral Type

Jianhai Bao, Chenggui Yuan

In this paper, we discuss hypercontractivity for the Markov semigroup which is generated by segment processes associated with a range of functional SDEs of neutral type. As a…