@article{Liu2025, 
author = {Xin Liu and Yongqi Hou},
title = {Almost automorphic solutions for mean-field SDEs driven by Lévy noise},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11159-11183},
keywords = {almost automorphy, mean-field stochastic differential equations, Lévy process, asymptotic stability},
url = {https://www.sciopen.com/article/10.3934/math.2025506},
doi = {10.3934/math.2025506},
abstract = {The paper is dedicated to studying the almost automorphic solutions for mean-field SDEs with Lévy noise. It is proven that if the coefficients satisfy the Lipschitz conditions, the equation admits a unique bounded solution, and the solution can inherit in distribution the almost automorphy of the coefficients. In addition, we investigate the global asymptotic stability of these solutions. We also give an example of the stochastic heat equation to illustrate our work.}
}