A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with G-Brownian motion

Fei, Chen and Fei, Weiyin and Mao, Xuerong (2023) A note on sufficient conditions of asymptotic stability in distribution of stochastic differential equations with G-Brownian motion. Applied Mathematics Letters, 136. 108448. ISSN 0893-9659 (https://doi.org/10.1016/j.aml.2022.108448)

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Abstract

This paper investigates a sufficient condition of asymptotic stability in distribution of stochastic differential equations driven by G-Brownian motion (G-SDEs). We define the concept of asymptotic stability in distribution under sublinear expectations. Sufficient criteria of the asymptotic stability in distribution based on sublinear expectations are given. Finally, an illustrative example is provided.