Pullback attractors for stochastic Young differential delay equations
Dynamical Systems
2020-07-31 v2
Abstract
We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main results show that, if there is a linear part in the drift term which has no delay factor and has eigenvalues of negative real parts, then the generated random dynamical system possesses a random pullback attractor provided that the Lipschitz coefficients of the remaining parts are small.
Cite
@article{arxiv.2005.09823,
title = {Pullback attractors for stochastic Young differential delay equations},
author = {Nguyen Dinh Cong and Luu Hoang Duc and Phan Thanh Hong},
journal= {arXiv preprint arXiv:2005.09823},
year = {2020}
}