most citedWeighted solutions of random time horizon BSDEs with stochastic monotonicity generators

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.PR2025

Existence and uniqueness on solutions of multidimensional BSDEs with generators of stochastic one-sided Osgood type

Yuru Lai, Xinying Li, Shengjun Fan

This paper establishes an existence and uniqueness result for solutions of multidimensional backward stochastic differential equations (BSDEs) with a general terminal time wh…

math.PR2024★ 1 cited

Weighted solutions of random time horizon BSDEs with stochastic monotonicity generators

Xinying Li, Shengjun Fan

In this paper, we are concerned with a multidimensional backward stochastic differential equation (BSDE) with a general random terminal time , which may take values in $[0,+\inf…

math.PR2024

On the uniqueness of solutions to quadratic BSDEs with non-convex generators and unbounded terminal conditions: the certain exponential moment case

Yan Wang, Yaqi Zhang, Shengjun Fan

With the terminal value admitting some given exponential moments, we propose and prove several existence and uniqueness results for the unbounded solutions of quadratic backw…

math.PR2024

Weighted solutions of random time horizon BSDEs with stochastic monotonicity and general growth generators and related PDEs

Xinying Li, Yaqi Zhang, Shengjun Fan

This study focuses on a multidimensional backward stochastic differential equation (BSDE) with a general random terminal time taking values in . The generator …

math.PR2024

Existence, uniqueness and comparison theorem on unbounded solutions of general time interval BSDEs with sub-quadratic generators

Chuang Gu, Yan Wang, Shengjun Fan

This paper is devoted to the existence, uniqueness and comparison theorem on unbounded solutions of one-dimensional backward stochastic differential equations (BSDEs) with sub-quad…

math.PR2024

On the existence and uniqueness of unbounded solutions to quadratic BSDEs with convex generators

Yan Wang, Xinying Li, Chuang Gu +1

With the terminal value admitting a certain exponential moment and admitting all exponential moments or being bounded, we establish several existence and uniqueness res…