Exponential stability of non-autonomous stochastic partial differential equations with finite memory
Dynamical Systems
2007-10-11 v1 Probability
Abstract
The exponential stability, in both mean square and almost sure senses, for energy solutions to a class of nonlinear and non-autonomous stochastic PDEs with finite memory is investigated. Various criteria for stability are obtained. An example is presented to demonstrate the main results.
Cite
@article{arxiv.0710.2082,
title = {Exponential stability of non-autonomous stochastic partial differential equations with finite memory},
author = {Li Wan and Jinqiao Duan},
journal= {arXiv preprint arXiv:0710.2082},
year = {2007}
}