Stochastic averaging principle for neutral stochastic functional differential equations driven by G-Levy process

被引：0

作者：

Shen, Guangjun ^{[1
]}

Fan, Jingjing ^{[1
]}

Wu, Jiang-Lun ^{[2
,3
]}

Wang, Zhi ^{[4
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China

[2] BNU HKBU United Int Coll, Fac Sci & Technol, Dept Math Sci, Zhuhai 519087, Peoples R China

[3] UIC, Guangdong Prov Key Lab Interdisciplinary Res & App, Zhuhai 519087, Peoples R China

[4] Ningbo Univ Technol, Sch Stat & Data Sci, Ningbo 315211, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2024年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Averaging principle; stochastic functional differential equation; G-Levy process; mean square convergence; G-BROWNIAN MOTION; REPRESENTATION THEOREM; CALCULUS; EXPECTATION; STABILITY;

D O I：

10.1142/S0219493724500291

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, we aim to establish an averaging principle for neutral stochastic functional differential equations driven by G-Levy processes with non-Lipschitz coefficients. Utilizing the theory of sub-linear expectations, we show that the solutions of the considered stochastic systems can be approximated by the solutions of averaged neutral stochastic functional differential equations driven by G-Levy processes in the mean square convergence and convergence in the sense of capacity. Finally, we give an example to support our main results.

引用

页数：25

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