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20072026
most citedObstacle problem for SPDE with nonlinear Neumann boundary condition via reflected generalized backward doubly SDEs

9 citations · 21 across the 31 of their papers we have counts for

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Showing 2021 · math.PRShow all

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math.PR2021

General Fully Coupled Forward Backward Stochastic Differential Equations with delayed generator

Auguste Aman, Harouna Coulibaly, Jasmina Djordjevic

This paper is devoted to study different type of BSDE with delayed generator. We first establish an existence and uniqueness result under delayed Lipschitz condition for non homoge…

math.PR2021

Generalized Backward doubly SDEs driven by Lévy processes with discontinuous and linear growth coefficients

Jean Marc Owo, Auguste Aman

This paper deals with generalized backward doubly stochastic differential equations driven by a Lévy process (GBDSDEL, in short). Under left or right continuous and linear growth c…

math.PR2021★ 2 cited

Backward stochastic Volterra integral equations with time delayed generators

Harouna Coulibaly, Auguste Aman

In this paper, we study backward stochastic Volterra integral equations of type-I with time delayed generators. Under some condition (small time horizon or a Lipschitz constant), w…

math.PR2021

Robust optimal problem for dynamic risk measures governed by BSDEs with jumps and delayed generator

Tuo Navegue, Auguste Aman

The aim of this paper is to study an optimal stopping problem for dynamic risk measures induced by backward stochastic differential equations with jumps and delayed generator. Firs…

math.PR2021

Stochastic viscosity solutions of reflected stochastic partial differential equations with non-Lipschitz coefficients

Yong Ren, Jean Marc Owo, Auguste Aman

This paper, is an attempt to extend the notion of stochastic viscosity solution to reflected semi-linear stochastic partial differential equations (RSPDEs, in short) with non-Lipsc…

math.PR2021★ 1 cited

Backward stochastic differential equations with time-delayed generators and integrable parameters

Auguste Aman, Yong Ren

In this note, we derive an existence and uniqueness results for delayed backward stochastic differential equation with only integrable data.