Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 49, Issue 2, Pages 1495-1518Publisher
SIAM PUBLICATIONS
DOI: 10.1137/16M1085504
Keywords
stochastic lattice equations; Hilbert-valued fractional Brownian motion; pathwise solutions; exponential stability
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Funding
- NSF [DMS-1418838]
- European Funds (MINECO/FEDER, EU) [MTM2015-63723-P]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1418838] Funding Source: National Science Foundation
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This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H is an element of (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.
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