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Author:

Li, Wenqiang (Li, Wenqiang.) | Min, Hui (Min, Hui.)

Indexed by:

EI Scopus SCIE

Abstract:

In this article, we study a type of fully coupled mean-field forward-backward stochastic differential equations with jumps under the monotonicity condition, including the existence and the uniqueness of the solution of our equations as well as the continuity property of the solutions with respect to the parameters. Then we establish the stochastic maximum principle for the corresponding optimal control problems and give the applications to the mean-variance portfolio problem and linear-quadratic problem, respectively.

Keyword:

linear-quadratic problem mean-field backward stochastic differential equation with jumps fully coupled forward-backward stochastic differential equation stochastic maximum principle mean-variance portfolio problem monotonicity conditions

Author Community:

  • [ 1 ] [Li, Wenqiang]Yantai Univ, Sch Math & Informat Sci, Yantai, Peoples R China
  • [ 2 ] [Min, Hui]Beijing Univ Technol, Fac Sci, Coll Stat & Data Sci, Beijing, Peoples R China

Reprint Author's Address:

  • [Min, Hui]Beijing Univ Technol, Fac Sci, Coll Stat & Data Sci, Beijing, Peoples R China

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Related Article:

Source :

OPTIMAL CONTROL APPLICATIONS & METHODS

ISSN: 0143-2087

Year: 2020

Issue: 1

Volume: 42

Page: 305-329

1 . 8 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:115

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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