Department of Applied Mathematics, Hohai University, Nanjing, Jiangsu 210098, China
Copyright © 2009 Xiaojun Li and Haishen Lv. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The existence of uniform
attractor in is proved for the partly dissipative
nonautonomous lattice systems with a new class of external terms
belonging to , which are locally asymptotic
smallness and translation bounded but not translation compact in
. It is also showed that the family of
processes corresponding to nonautonomous lattice systems with
external terms belonging to weak topological space possesses uniform
attractor, which is identified with the original one. The upper
semicontinuity of uniform attractor is also studied.