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    • Global Attractor for a Generalized Discrete Nonlinear Schrödinger Equation 

      Pereira J.M. (Acta Applicandae Mathematicae, 2014-12-31)
      A generalized discrete nonlinear Schrödinger equation (Formula presented.) with long-range interactions in weighted spaces (Formula presented.) is considered. Under suitable assumptions on the coupling constants J(m), the ...
    • Long time dynamics of a multidimensional nonlinear lattice with memory 

      Oliveira J.C.; Pereira J.M.; Menzala G.P. (Discrete and Continuous Dynamical Systems - Series B, 2015-12-31)
      This work is devoted to study the nature of vibrations arising in a multidimensional nonlinear periodic lattice structure with memory. We prove the existence of a global attractor. In the homogeneous case under a restriction ...