{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:32:35Z","timestamp":1777447955131,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"3-4","license":[{"start":{"date-parts":[[2019,4,1]],"date-time":"2019-04-01T00:00:00Z","timestamp":1554076800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2019,4,1]]},"abstract":"<jats:p>In this paper we study pullback attractors of multi-valued dynamical systems that are asymptotically convergent. It is shown that, under certain conditions, the components of the pullback attractor of a dynamical system can converge in time to those of the pullback attractor of the limiting dynamical system. Particular examples are asymptotically autonomous and asymptotically periodic pullback attractors. Different criteria theorems requiring different conditions are established and their applicability and advantages are highlighted.<\/jats:p>","DOI":"10.3233\/asy-181501","type":"journal-article","created":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T13:41:52Z","timestamp":1554212512000},"page":"165-184","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":12,"title":["Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems"],"prefix":"10.1177","volume":"112","author":[{"given":"Hongyong","family":"Cui","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P.R.\u00a0China. E-mails:\u00a0,\u00a0"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter E.","family":"Kloeden","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P.R.\u00a0China. E-mails:\u00a0,\u00a0"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,4,1]]},"reference":[{"key":"ref001","doi-asserted-by":"publisher","DOI":"10.3934\/dcdss.2016037"},{"key":"ref002","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2015.20.703"},{"key":"ref003","doi-asserted-by":"publisher","DOI":"10.1090\/coll\/049"},{"key":"ref004","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2018276"},{"key":"ref005","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2017142"},{"key":"ref006","unstructured":"H.\u00a0Cui and P.E.\u00a0Kloeden, Comparison of attractors of asymptotically equivalent difference equations, Proceedings of ICDEA, to appear."},{"key":"ref007","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2017.03.018"},{"key":"ref008","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-016-0395-2"},{"key":"ref009","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/176"},{"key":"ref010","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2014.12.069"},{"key":"ref011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2016.08.004"},{"key":"ref012","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2014.09.021"},{"key":"ref013","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2017.11.033"},{"key":"ref014","doi-asserted-by":"publisher","DOI":"10.1016\/S1874-5717(08)00003-0"},{"key":"ref015","unstructured":"G.\u00a0Ochs, Weak random attractors, Citeseer, 1999."},{"key":"ref016","unstructured":"G.R.\u00a0Sell, Topological Dynamics and Ordinary Differential Equations, Van Nostrand\u2013Reinhold, London, 1971."},{"key":"ref017","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2012.05.015"},{"key":"ref018","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2006.07.005"},{"key":"ref019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2017.06.025"}],"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181501","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/ASY-181501","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-181501","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:36:23Z","timestamp":1777379783000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-181501"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,1]]},"references-count":19,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2019,4,1]]}},"alternative-id":["10.3233\/ASY-181501"],"URL":"https:\/\/doi.org\/10.3233\/asy-181501","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,4,1]]}}}