Long-Time Behavior for Second Order Lattice Dynamical Systems

• Autores: Ahmed Y. Abdallah
• Localización: Acta applicandae mathematicae, ISSN 0167-8019, Vol. 106, Nº. 1, 2009, págs. 47-59
• Idioma: inglés
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• Resumen

  • 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.