| Issue |
ESAIM: PS
Volume 27, 2023
|
|
|---|---|---|
| Page(s) | 558 - 575 | |
| DOI | https://doi.org/10.1051/ps/2023009 | |
| Published online | 28 April 2023 | |
A moderate deviation principle for stochastic Hamiltonian systems
1
College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR China
2
College of Mathematics and Information Science, Henan University Of Economics and Law, Zhengzhou, Henan 450002, PR China
* Corresponding author: xujiescu@163.com
Received:
12
July
2022
Accepted:
2
April
2023
We prove a moderate deviation principle for stochastic differential equations (SDEs) with non-Lipschitz conditions. As an application of our result, we also study the stochastic Hamiltonian systems.
Mathematics Subject Classification: 60H10 / 60F10 / 65C20 / 34F05
Key words: Moderate deviation principle / Non-Lipschitz condition / Stochastic Hamiltonian systems
© The authors. Published by EDP Sciences, SMAI 2023
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