{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:22:43Z","timestamp":1762262563848,"version":"build-2065373602"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Port. Math."],"published-print":{"date-parts":[[2016,2,25]]},"abstract":"<jats:p>We obtain global and local theorems on the existence of invariant manifolds for perturbations of non autonomous linear difference equations assuming a very general form of dichotomic behavior for the linear equation. The results are obtained using Banach fixed point theorem and include situations where the behavior is far from hyperbolic. We also give several new examples and show that our result includes as particular cases several previous theorems.<\/jats:p>","DOI":"10.4171\/pm\/1975","type":"journal-article","created":{"date-parts":[[2016,2,25]],"date-time":"2016-02-25T17:45:04Z","timestamp":1456422304000},"page":"41-64","source":"Crossref","is-referenced-by-count":2,"title":["Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations"],"prefix":"10.4171","volume":"73","author":[{"given":"Ant\u00f3nio J.G.","family":"Bento","sequence":"first","affiliation":[{"name":"Universidade da Beira Interior, Covilh\u00e3, Portugal"}]},{"given":"C\u00e9sar M.","family":"Silva","sequence":"additional","affiliation":[{"name":"Universidade da Beira Interior, Covilh\u00e3, Portugal"}]}],"member":"2673","container-title":["Portugaliae Mathematica"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/PM\/1975","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T13:12:38Z","timestamp":1762261958000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/pm\/1975"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,25]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.4171\/pm\/1975","relation":{},"ISSN":["0032-5155","1662-2758"],"issn-type":[{"type":"print","value":"0032-5155"},{"type":"electronic","value":"1662-2758"}],"subject":[],"published":{"date-parts":[[2016,2,25]]}}}