Attractors of retarded first order lattice systems

In this paper, we study the following retarded first order lattice systems (where uit = ui(t + s) denotes the delay term, s belongs to the interval of delay time [−ν, 0], and ν > 0 is a constant, see section 3 for details) and obtain the existence of a global attractor for each fixed ν > 0 in C([−ν, 0]; l2). Then we establish the upper semi-continuity (in a suitable sense) of as ν → 0+. Finally, we make some remarks.

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