GENERALIZED ANTICIPATED BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONSWITH NON-LIPSCHITZ CONDITION

In this work, we study the anticipated generalized backward doubly stochastic differential equations (AGBDSDEs) whose coefficients satisfy a non-Lipschitz condition. An existence and uniqueness theorem is formulated and proved for this equation. A comparison theorem for this type of AGBDSDEs is also presented.

Authors

Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2025-08-22
DOI
https://doi.org/10.17654/0972087125032
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

GENERALIZED ANTICIPATED BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONSWITH NON-LIPSCHITZ CONDITION

Djibril Ndiaye, Sadibou Aïdara, L. Sylla, Yaya Sagna et al.
Far East Journal of Mathematical Sciences (FJMS)
Differential Equations and Numerical Methods
article

GENERALIZED ANTICIPATED BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONSWITH NON-LIPSCHITZ CONDITION

Djibril Ndiaye, Sadibou Aïdara, L. Sylla, Yaya Sagna, Cheikh Gueye
article en

Abstract

In this work, we study the anticipated generalized backward doubly stochastic differential equations (AGBDSDEs) whose coefficients satisfy a non-Lipschitz condition. An existence and uniqueness theorem is formulated and proved for this equation. A comparison theorem for this type of AGBDSDEs is also presented.

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(4)
Openalex Percentile: Top 68%
Differential Equations and Numerical Methods
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GENERALIZED ANTICIPATED BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONSWITH NON-LIPSCHITZ CONDITION — Djibril Ndiaye, Sadibou Aïdara, et al. · Far East Journal of Mathematical Sciences (FJMS) (2025) | TGRS Research Map | TGRS