Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 25, pp. 1-15.

Title: Periodic solutions in distribution for stochastic lattice differential equations

Authors: Yue Gao (Jilin Univ., Changchun, China)
         Xue Yang (Jilin Univ., Changchun, China)

Abstract:
In this article, we consider stochastic lattice differential equations (SLDEs) in
the weighted space $l^2_\rho$ of infinite sequences.
We establish the well-posedness of solutions and prove the existence of periodic
solutions in distribution. An example is given to illustrate the validity of our results. 

Submitted September 9, 2023. Published March 21, 2024.
Math Subject Classifications: 34C25, 34C27, 37H10.
Key Words: Periodic solutions; stochastic lattice differential equations; weighted spaces.