Work

Almost automorphic solutions for mean-field SDEs driven by Lévy noise

Year: 2025

Type: article

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.

Source: AIMS Mathematics

DOI: 10.3934/math.2025506

Authors: Xin Liu, Yongqi Hou

Institution: Dalian Maritime University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities