activity
20162021
most citedOn the uniqueness of solutions to quadratic BSDEs with non-convex generators and unbounded terminal conditions

2 citations · 3 across the 6 of their papers we have counts for

collaborators

8 papers

math.PR2021

Existence, uniqueness and comparison theorem on unbounded solutions of scalar super-linear BSDEs

Shengjun Fan, Ying Hu, Shanjian Tang

This paper is devoted to the existence, uniqueness and comparison theorem on unbounded solutions of a scalar backward stochastic differential equation (BSDE) whose generator grows…

math.PR2020

Multi-dimensional backward stochastic differential equations of diagonally quadratic generators: the general result

Shengjun Fan, Ying Hu, Shanjian Tang

This paper is devoted to a general solvability of a multi-dimensional backward stochastic differential equation (BSDE) of a diagonally quadratic generator , by relaxing t…

math.PR2019

General time interval multidimensional BSDEs with generators satisfying a weak stochastic-monotonicity condition

Tingting Li, Ziheng Xu, Shengjun Fan

This paper establishes an existence and uniqueness result for the adapted solution of a general time interval multidimensional backward stochastic differential equation (BSDE), whe…

math.PR2019

Existence, uniqueness, comparison theorem and stability theorem for unbounded solutions of scalar BSDEs with sub-quadratic generators

Shengjun Fan, Ying Hu

We first establish the existence of an unbounded solution to a backward stochastic differential equation (BSDE) with generator allowing a general growth in the state variable $…

math.PR20192 cited

On the uniqueness of solutions to quadratic BSDEs with non-convex generators and unbounded terminal conditions

Shengjun Fan, Ying Hu, Shanjian Tang

We prove a uniqueness result of the unbounded solution for a quadratic backward stochastic differential equation whose terminal condition is unbounded and whose generator may b…

math.PR2019

Existence and uniqueness of solution to scalar BSDEs with -integrable terminal values: the critical case

Shengjun Fan, Ying Hu

In \cite{HuTang2018ECP}, the existence of the solution is proved for a scalar linearly growing backward stochastic differential equation (BSDE) when the terminal value is $L\exp\le…