Long-Time Behavior for Second Order Lattice Dynamical Systems |
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Authors: | Ahmed Y Abdallah |
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Institution: | (1) Department of Mathematics, University of Jordan, Amman, 11942, Jordan |
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Abstract: | 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.
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Keywords: | Boussinesq equation Absorbing set Global attractor Upper semicontinuity |
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