Stochastic lattice dynamical systems with fractional noise
Article
Bessaih, H, Garrido-Atienza, MJ, Han, X et al. (2017). Stochastic lattice dynamical systems with fractional noise
. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 49(2), 1495-1518. 10.1137/16M1085504
Bessaih, H, Garrido-Atienza, MJ, Han, X et al. (2017). Stochastic lattice dynamical systems with fractional noise
. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 49(2), 1495-1518. 10.1137/16M1085504
This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to such systems by the Young integration setting and prove that the solution generates a random dynamical system. Further, we analyze the exponential stability of the trivial solution.