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Related papers: Reflected BSDEs with monotone generator

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We consider BSDEs with two reflecting irregular barriers. We give necessary and sufficient conditions for existence and uniqueness of $\mathbb{L}^{p}$ solutions for equations with generators monotone with respect to $y$ and Lipschitz…

Probability · Mathematics 2018-10-09 Tomasz Klimsiak

We prove existence and uniqueness of L^p solutions of reflected backward stochastic differential equations with p-integrable data and generators satisfying the monotonicity condition. We also show that the solution may be approximated by…

Probability · Mathematics 2012-10-05 Andrzej Rozkosz , Leszek Slominski

In this paper, we study the reflected BSDE with one continuous barrier, under the monotonicity and general increasing condition on $y$ and non Lipschitz condition on $z$. We prove the existence and uniqueness of the solution to these…

Probability · Mathematics 2007-05-23 Mingyu Xu

We put forward and prove several existence and uniqueness results for $L^p\ (p>1)$ solutions of reflected BSDEs with continuous barriers and generators satisfying a one-sided Osgood condition together with a general growth condition in $y$…

Probability · Mathematics 2015-10-30 ShengJun Fan

In this paper, we prove the existence and uniqueness result of the reflected BSDE with two continuous barriers under monotonicity and general increasing condition on $y$, with Lipschitz condition on $z$.

Probability · Mathematics 2007-05-23 Mingyu Xu

We consider a one-reflected backward stochastic differential equation with a general RCLL barrier in a filtration that supports a Brownian motion and an independent Poisson random measure. We establish the existence and uniqueness of a…

Probability · Mathematics 2025-04-22 Badr Elmansouri , Mohamed El Otmani , Mohamed Marzougue

Under a generalized Mokobodzki condition for reflected BSDEs with two continuous barriers which relates the growth of the generator $g$ and that of the barriers, we establish several existence and uniqueness results on $L^p\ (p>1)$…

Probability · Mathematics 2021-02-23 Shengjun Fan , Qianyun Qian

We establish several existence, uniqueness and comparison results for $L^1$ solutions of non-reflected BSDEs and reflected BSDEs with one and two continuous barriers under the assumption that the generator $g$ satisfies a one-sided Osgood…

Probability · Mathematics 2017-06-06 ShengJun Fan

In this paper, we study the uniqueness of the solution of reflected BSDE with one or two barriers, under continuous and linear increasing condition of generator $g$. Before that we study the construction of solution of of reflected BSDE…

Symplectic Geometry · Mathematics 2008-01-25 G. Jia , Mingyu Xu

In this paper, we are interested in solving general time interval multidimensional backward stochastic differential equations in $L^p$ $(p\geq 1)$. We first study the existence and uniqueness for $L^p$ $(p>1)$ solutions by the method of…

Probability · Mathematics 2014-04-09 Lishun Xiao , Shengjun Fan , Na Xu

In this paper, we study multi-dimensional reflected backward stochastic differential equations with diagonally quadratic generators. Using the comparison theorem for diagonally quadratic BSDEs which is established recently in [14], we…

Probability · Mathematics 2021-11-16 Yuyang Chen , Peng Luo

This paper deals with the problem of existence and uniqueness of a solution for a backward stochastic differential equation (BSDE for short) with one reflecting barrier in the case when the terminal value, the generator and the obstacle…

Probability · Mathematics 2008-07-14 Said Hamadene , Alexandre Popier

We study the problem of existence and uniqueness of solutions of backward stochastic differential equations with two reflecting irregular barriers, $L^p$ data and generators satisfying weak integrability conditions. We deal with equations…

Probability · Mathematics 2016-11-04 Tomasz Klimsiak

This paper proves the existence and uniqueness of a solution to doubly reflected backward stochastic differential equations where the coefficient is stochastic Lipschitz, by means of the penalization method.

Probability · Mathematics 2018-01-04 Mohamed Marzougue , Mohamed El Otmani

This paper extends our previous work to continuous-time optimal stopping, focusing on American options in an exploratory setting. Our first contribution is an entropy-regularized penalization scheme, inspired by classical penalization…

Mathematical Finance · Quantitative Finance 2026-03-04 Daniel Chee , Noufel Frikha , Libo Li

In this paper we deal with the problem of the existence and the uniqueness of a solution for one dimensional reflected backward stochastic differential equations with two strictly separated barriers when the generator is allowing a…

Probability · Mathematics 2022-02-11 Brahim El Asri , Khalid Oufdil , Nacer Ourkiya

In this paper, we first establish the existence and uniqueness of $L^p\ (p>1)$ solutions for multidimensional backward stochastic differential equations (BSDEs) under a weak monotonicity condition together with a general growth condition in…

Probability · Mathematics 2014-03-21 ShengJun Fan

We consider a class of reflected backward doubly stochastic differential equations with time delayed generator (in short RBDSDE with time delayed generator), in this case generator at time $t$ can depend on the values of a solution in the…

Probability · Mathematics 2017-03-31 Badreddine Mansouri , Imen Salhi , Lazhar Tamer

This paper is devoted to the $L^p$ ($p>1$) solutions of one-dimensional backward stochastic differential equations (BSDEs for short) with general time intervals and generators satisfying some non-uniform conditions in $t$ and $\omega$. An…

Probability · Mathematics 2016-03-02 Yajun Liu , Depeng Li , Shengjun Fan

In this paper, we study the existence and uniqueness of the solution to a reflected backward stochastic differential equation (RBSDE) with the generator $g(t,y,z)=G_f^F(t,y,z)+f(y)|z|^2$, where $f(y)$ is a locally integrable function…

Probability · Mathematics 2025-07-18 Shiqiu Zheng , Lidong Zhang , Xiangbo Meng
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