Backward stochastic Volterra integral equations driven by G -Brownian motion

In this paper, we study the backward stochastic Volterra integral equations driven by G-Brownian motion (G-BSVIEs) under the Lipschitz condition. With the help of G-stochastic analysis techniques and the approximation method, we establish the existence, uniqueness, and continuity of the solution. Moreover, we obtain the comparison theorem.

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Publication Details

Journal
Applicable Analysis
Published
2026-09-29
DOI
https://doi.org/10.1080/00036811.2026.2739573
Primary Topic
Stochastic processes and financial applications
Type
article
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article

Backward stochastic Volterra integral equations driven by G -Brownian motion

Bingru Zhao, Mingshang Hu
Applicable Analysis
Stochastic processes and financial applications
article

Backward stochastic Volterra integral equations driven by G -Brownian motion

Bingru Zhao, Mingshang Hu
article en

Abstract

In this paper, we study the backward stochastic Volterra integral equations driven by G-Brownian motion (G-BSVIEs) under the Lipschitz condition. With the help of G-stochastic analysis techniques and the approximation method, we establish the existence, uniqueness, and continuity of the solution. Moreover, we obtain the comparison theorem.

Applicable Analysis
Shandong University (CN)
Reduced inequalities
Openalex Percentile: Top 8%
Stochastic processes and financial applications
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Backward stochastic Volterra integral equations driven by G -Brownian motion — Bingru Zhao, Mingshang Hu · Applicable Analysis (2026) | TGRS Research Map | TGRS