2015-04-082015-04-0820121023-6198http://hdl.handle.net/11441/23708In this paper we study the asymptotic behaviour of solutions of a first-order stochastic lattice dynamical system with an additive noise. We do not assume any Lipschitz condition on the nonlinear term, just a continuity assumption together with growth and dissipative conditions, so that uniqueness of the Cauchy problem fails to be true. Using the theory of multi-valued random dynamical systems we prove the existence of a random compact global attractor.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Stochastic lattice dynamical systemsset-valued dynamical systemrandom attractorRandom attractors for stochastic lattice systems with non-Lipschitz non-linearityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1080/10236198.2010.549010https://idus.us.es/xmlui/handle/11441/23708