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      Asymptotic Behaviour of a Logistic Lattice System  [Article]

      Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Valero Cuadra, José (2014)
      In this paper we study the asymptotic behaviour of solutions of a lattice dynamical system of a logistic type. Namely, we study a system of in nite ordinary di erential equations which can be obtained after the spatial ...
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      Attractors for non-autonomous retarded lattice dynamical systems  [Article]

      Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Valero Cuadra, José (De Gruyter Open, 2015)
      In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence ...
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      On Differential Equations with Delay in Banach Spaces and Attractors for Retarded Lattice Dynamical Systems  [Article]

      Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Valero Cuadra, José (2014)
      In this paper we first prove a rather general theorem about existence of solutions for an abstract differential equation in a Banach space by assuming that the nonlinear term is in some sense weakly continuous. We then ...
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      Random attractors for stochastic lattice systems with non-Lipschitz non-linearity  [Article]

      Caraballo Garrido, Tomás; Morillas Jurado, Francisco; Valero Cuadra, José (2012)
      In 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 ...