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In particular, there is no restriction on the power index [Formula: see text] of the nonlinearity relative to the index [Formula: see text]. The forward limiting behavior is also discussed and, under suitable assumptions on the time dependent terms, the lattice system is shown to be asymptotically autonomous with its pullback attractor component sets converging upper semi-continuously to the autonomous global attractor of the limiting autonomous system. <\/jats:p>","DOI":"10.1142\/s0218127416501741","type":"journal-article","created":{"date-parts":[[2016,9,23]],"date-time":"2016-09-23T09:53:59Z","timestamp":1474624439000},"page":"1650174","source":"Crossref","is-referenced-by-count":57,"title":["Asymptotic Behavior of a Nonautonomous p-Laplacian Lattice System"],"prefix":"10.1142","volume":"26","author":[{"given":"Anhui","family":"Gu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. 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