caa a22 4500 606233369 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10883-015-9281-8 doi (NATIONALLICENCE)springer-10.1007/s10883-015-9281-8 Pilyugin Sergei Faculty of Mathematics and Mechanics, St. Petersburg State University, University av., 28, 198504, St. Petersburg, Russia aut Lower Semicontinuity of Invariant Sets for Nonautonomous Processes and Skew Products [Elektronische Daten] [Sergei Pilyugin] We give general sufficient conditions for lower semicontinuity of invariant sets for some generalizations of classical dynamical systems, such as nonautonomous processes and skew products. It is shown that under these conditions, the invariant set is trajectorically lower semicontinuous, i.e., for any of its trajectory, there exists a close trajectory of the perturbed process. We also give conditions under which the mapping which takes a trajectory of the invariant set to a close trajectory of the perturbed process is continuous. Springer Science+Business Media New York, 2015 Dynamical system nationallicence Nonautonomous process nationallicence Invariant set nationallicence Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/4(2015-10-01), 559-571 1079-2724 21:4<559 2015 21 10883 https://doi.org/10.1007/s10883-015-9281-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-015-9281-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pilyugin Sergei Faculty of Mathematics and Mechanics, St. Petersburg State University, University av., 28, 198504, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/4(2015-10-01), 559-571 1079-2724 21:4<559 2015 21 10883