Periodicity for stochastic lattice equations with regime-switching
Yue Gao, Xue Yang · Journal of Mathematical Physics · 2024
In this paper, we consider stochastic lattice differential equations (SLDEs) with regime-switching in weighted space lρ2. First, we discuss the well-posedness of solutions for SLDEs with regime-switching. Then we establish the existence of periodic solutions in distribution via an infinite dimensional Skorokhod theorem. Finally, we give an example to illustrate our criteria.