[HTML][HTML] Backward doubly stochastic Volterra integral equations and their applications

Y Shi, J Wen, J **ong - Journal of differential equations, 2020 - Elsevier
In this paper, we introduce a new class of equations called backward doubly stochastic
Volterra integral equations (BDSVIEs, for short). First, the well-posedness of BDSVIEs in the …

Solvability of a class of mean-field BSDEs with quadratic growth

T Hao, J Wen, J **ong - Statistics & Probability Letters, 2022 - Elsevier
In this paper, we study the multi-dimensional mean-field backward stochastic differential
equations (BSDEs, for short) with quadratic growth. Under small terminal value, the …

[HTML][HTML] Anticipated backward stochastic differential equations with quadratic growth

Y Hu, X Li, J Wen - Journal of Differential Equations, 2021 - Elsevier
In this paper, we study the solvability of anticipated backward stochastic differential
equations (BSDEs, for short) with quadratic growth for one-dimensional case and multi …

Existence and uniqueness of solution for coupled fractional mean-field forward–backward stochastic differential equations

MG Sin, KI Ri, KH Kim - Statistics & Probability Letters, 2022 - Elsevier
We study a coupled fractional mean-field forward–backward stochastic differential equation
(MF-FBSDE), in which the coefficients involved could also depend upon the distribution of …

A partial information linear-quadratic optimal control problem of backward stochastic differential equation with its applications

P Huang, G Wang, H Zhang - Science China Information Sciences, 2020 - Springer
In this paper, we investigate a kind of partial information linear-quadratic optimal control
problem driven by a backward stochastic differential equation, where the state equation and …

Weak closed-loop solvability of stochastic linear quadratic optimal control problems of Markovian regime switching system

J Wen, X Li, J **ong - Applied Mathematics & Optimization, 2021 - Springer
In this paper, we investigate open-loop and weak closed-loop solvabilities of stochastic
linear quadratic (LQ, for short) optimal control problem of Markovian regime switching …

Fractional backward sdes with locally monotone coefficient and application to pdes

MA Saouli - Random Operators and Stochastic Equations, 2023 - degruyter.com
In this work, we will try to weaken the hypothesis imposed by Hu and Peng. We will be
concerned with finding the solution of locally monotone BSDEs associated to fBm. As an …

Mean-field and anticipated BSDEs with time-delayed generator

P Zhang, NA Mohamed, AIN Ibrahim - Mathematics, 2023 - mdpi.com
In this paper, we discuss a new type of mean-field anticipated backward stochastic
differential equation with a time-delayed generator (MF-DABSDEs) which extends the …

Solvability of anticipated backward stochastic Volterra integral equations

J Wen, Y Shi - Statistics & Probability Letters, 2020 - Elsevier
In this paper, we focus on a new class of equations called the anticipated backward
stochastic Volterra integral equations (ABSVIEs, for short). In this class of equations, the …

Mixed Nash games and social optima for linear-quadratic forward-backward mean-field systems

X Feng, Y Lin - Mathematical Control and Related Fields, 2024 - aimsciences.org
We consider a new class of mixed linear-quadratic Nash games and social optimization for
two types of interactive agents. One is called a major agent and the others are minor agents …