In this study, we investigate asymptotic property of the solutions for a class of perturbed stochastic differential equations driven by G-Brownian motion (G-SDEs, in short) by proposing a perturbed G-SDE with small perturbation for the unperturbed G-SDE. We consider the closeness in the 2m-order moments of the solutions of perturbed G-SDEs and the unperturbed G-SDEs. At last, the obtained results are illustrated via a concrete example.

中文翻译：

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由G-布朗运动驱动的摄动随机微分方程。

在这项研究中，我们研究了一类由从动扰动随机微分方程的解的渐近性ģ -Brownian运动（ģ通过提出一种扰动-SDEs，总之）ģ -SDE与小扰动对于未扰动ģ -SDE。我们考虑了扰动的G -SDE和非扰动的G -SDE在2 m阶矩中的接近性。最后，通过一个具体的例子来说明所获得的结果。