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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.
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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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