Electron. J. Differential Equations, Vol. 2024 (2024), No. 25, pp. 1-15.

Periodic solutions in distribution for stochastic lattice differential equations

Yue Gao, Xue Yang

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.
DOI: 10.58997/ejde.2024.25

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Yue Gao
School of Mathematics
Jilin University
Changchun 130012, China
email: gaoyue19972022@163.com
Xue Yang
School of Mathematics
Jilin University
Changchun 130012, China
email: xueyang@jlu.edu.cn

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