Mean-field BSDEs with weak monotonicity and general growth generators

In this paper, we show an existence and uniqueness result of solutions to mean-field backward stochastic differential equations (MBSDEs for short) whose generators satisfy a weak monotonicity condition and a general growth condition. In addition, we provide a comparison theorem. We also give an example showing the applicability of the results.

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Publication Details

Journal
Stochastics and Dynamics
Published
2025-07-25
DOI
https://doi.org/10.1142/s0219493725500261
Primary Topic
Stochastic processes and financial applications
Type
article
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article

Mean-field BSDEs with weak monotonicity and general growth generators

Hun O, Ri Kyong-Il, Kim Mun-Chol
Stochastics and Dynamics
Stochastic processes and financial applications
article

Mean-field BSDEs with weak monotonicity and general growth generators

Hun O, Ri Kyong-Il, Kim Mun-Chol
article en

Abstract

In this paper, we show an existence and uniqueness result of solutions to mean-field backward stochastic differential equations (MBSDEs for short) whose generators satisfy a weak monotonicity condition and a general growth condition. In addition, we provide a comparison theorem. We also give an example showing the applicability of the results.

Stochastics and DynamicsVol. 25(05)
Openalex Percentile: Top 75%
Stochastic processes and financial applications
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Mean-field BSDEs with weak monotonicity and general growth generators — Hun O, Ri Kyong-Il, et al. · Stochastics and Dynamics (2025) | TGRS Research Map | TGRS