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Stochastic averaging principle for multi-valued McKean–Vlasov stochastic differential equations

Guangjun Shen, Jie Xiang Orcid Logo, Jiang-lun Wu Orcid Logo

Applied Mathematics Letters, Volume: 141, Start page: 108629

Swansea University Author: Jiang-lun Wu Orcid Logo

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Abstract

In this paper, we are concerned with stochastic averaging principle for multi-valued McKean-Vlasov stochastic differential equations. Under certain averaging conditions, we show that solutions of multi-valued McKean-Vlasov stochastic differential equations can be approximated by solutions of the ass...

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Published in: Applied Mathematics Letters
ISSN: 0893-9659 1873-5452
Published: Elsevier BV 2023
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa62688
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Abstract: In this paper, we are concerned with stochastic averaging principle for multi-valued McKean-Vlasov stochastic differential equations. Under certain averaging conditions, we show that solutions of multi-valued McKean-Vlasov stochastic differential equations can be approximated by solutions of the associated averaged multi-valued McKeanVlasov stochastic differential equations in the sense of the mean square convergence.
Keywords: Multi-valued McKean-Vlasov stochastic differential equations; Stochastic averaging principle
College: Faculty of Science and Engineering
Funders: The National Natural Science Foundation of China - 12071003
Start Page: 108629