TY  - JOUR
AU  - Liu, Xin
AU  - Hou, Yongqi
PY  - 2025
TI  - Almost automorphic solutions for mean-field SDEs driven by Lévy noise
JO  - AIMS Mathematics
SP  - 11159
EP  - 11183
VL  - 10
IS  - 5
AB  - 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.
UR  - https://doi.org/10.3934/math.2025506
DO  - 10.3934/math.2025506