Resumen de Long-Time Behavior for Second Order Lattice Dynamical Systems

Ahmed Y. Abdallah

• Many researchers examined the existence of global attractors for various types of first and second order lattice dynamical systems. Here we prove the existence of a global attractor for a new type of second order lattice dynamical systems in the Hilbert space l 2×l 2. For specific choices of the linear operators this system can be regraded as a spatial discretization of a continuous damped nonlinear Boussinesq equation on R m ,m?1.