63 citations · 115 across the 7 of their papers we have counts for
8 papers
Infinite horizon quadratic backward stochastic differential equations driven by -Brownian motion
Yiqing Lin, Yifan Sun, Falei Wang
The aim is to prove the well-posedness of infinite horizon backward stochastic differential equations driven by -Brownian motion (-BSDEs) with quadratic generators. To this e…
Mean-reflected -BSDEs with multi-variate constraints
Yiqing Lin, Falei Wang, Hui Zhao
In this paper, we study the multi-dimensional reflected backward stochastic differential equation driven by -Brownian motion (-BSDE) with a multi-variate constraint on the $G…
Quadratic BSDEs with mean reflection
Hélène Hibon, Ying Hu, Yiqing Lin +2
The present paper is devoted to the study of the well-posedness of BSDEs with mean reflection whenever the generator has quadratic growth in the argument. This work is the sequ…
Reflected stochastic differential equations driven by -Brownian motion in non-convex domains
Yiqing Lin, Abdoulaye Soumana Hima
In this paper, we first review the penalization method for solving deterministic Skorokhod problems in non-convex domains and establish estimates for problems with -Hölder conti…
Quadratic backward stochastic differential equations driven by -Brownian motion: discrete solutions and approximation
Ying Hu, Yiqing Lin, Abdoulaye Soumana Hima
In this paper, we consider backward stochastic differential equations driven by -Brownian motion (GBSDEs) under quadratic assumptions on coefficients. We prove the existence and…
Lyapunov-type conditions and stochastic differential equations driven by -Brownian motion
Xinpeng Li, Xiangyun Lin, Yiqing Lin
This paper studies the solvability and the stability of stochastic differential equations driven by G-Brownian motion (GSDEs). In particular, the existence and uniqueness of the so…
Stochastic differential equations driven by -Brownian motion with reflecting boundary conditions
Yiqing Lin
In this paper, we introduce the idea of stochastic integrals with respect to an increasing process in the -framework and extend -Itô's formula. Moreover, we study the solvabi…
On the existence and uniqueness of solutions to stochastic differential equations driven by G-Brownian motion with integral-Lipschitz coefficients
Yiqing Lin, Xuepeng Bai
In this paper, we study the existence and uniqueness of solutions to stochastic differential equations driven by G-Brownian motion (GSDEs) with integral-Lipschitz conditions on the…