Attractors for partly dissipative lattice dynamic systems in l2×l2

摘要

In this paper, we study the asymptotic behavior of solutions for the partly dissipative lattice dynamical systems in l2×l2. We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in l2×l2. The upper semicontinuity of the global attractor is also considered by finite-dimensional approximations of attractors for the lattice systems.