Multivalued Impulsive SDEs Driven by G-Brownian Noise: Periodic Averaging Result

Mahmoud Abouagwa, Anas D. Khalaf, Nadia Gul, Sultan Alyobi, Al-Sharef Mohamed and Qingdu Li

Complexity, 2022, vol. 2022, 1-16

Abstract: This paper aims to study two approximation theorems in view of the periodic averaging results for non-Lipschitz multivalued stochastic differential equations with impulses and G-Brownian motion (MISDEGs). By adopting G-Itô’s formula and non-Lipschitz condition, the solutions to the simplified MSDEGs without impulses may replace those of the initial MISDEGs in view of approximation in L2-sense and capacity. Finally, we bring a couple of two examples to enhance our theoretical results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5619693

DOI: 10.1155/2022/5619693

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