@article{Ban2025, 
author = {Ailing Ban},
title = {Random exponential attractor for a class of non-autonomous stochastic lattice systems},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {7},
pages = {4382-4397},
keywords = {random exponential attractor, Klein-Gordon-Schrödinger lattice equations, multiplicative noise, continuous cocycle},
url = {https://www.sciopen.com/article/10.3934/era.2025200},
doi = {10.3934/era.2025200},
abstract = {The purpose of this paper was to discuss the existence of a random exponential attractor for non-autonomous coupled Klein-Gordon-Schrödinger (KGS) lattice equations with multiplicative noise. We employed the method of estimation on the tails of solutions to prove the existence of a random attractor for a continuous cocycle generated by the random KGS lattice equations on an infinite-dimensional sequence space, and used this abstract result to prove the Lipschitz continuity of the continuous cocycle. Then, we verified the existence of a random exponential attractor for the investigated system according to a known criterion.}
}