This paper is devoted to consider stochastic lattice dynamical systems (SLDS) driven by fractional Brownian motions with Hurst parameter bigger than 1/2. Under usual dissipativity conditions theseâ€¦ (More)

Water-saturated, organic-rich sediments immediately surrounding a stream channel can provide a protective buffer between streams and adjacent land-based activities by removing plant nutrients fromâ€¦ (More)

We consider the upper semicontinuity of the global random attractors for the stochastic three-component reversible Grayâ€“Scott system on unbounded domains when the intensity of the noise converges toâ€¦ (More)

The existence of a pullback attractor for the nonautonomous p-Laplacian type equations on infinite lattices is established under certain natural dissipative conditions. In particular, there is noâ€¦ (More)

(1) where Z denotes the integer set, ui âˆˆ R, Î», and are positive constants, hi, gi âˆˆ R, fi are smooth functions satisfying some dissipative conditions, Îµj âˆˆ R for j = 1, . . . , N , Ljt are mutuallyâ€¦ (More)