{"id":25594,"date":"2021-10-21T12:09:48","date_gmt":"2021-10-21T10:09:48","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25594"},"modified":"2022-01-21T12:33:36","modified_gmt":"2022-01-21T11:33:36","slug":"zgurovsky-m-z-dapice-c-de-maio-u-gorban-n-v-kasyanov-p-o-kapustyan-o-v-khomenko-o-v-valero-j-2021-uniform-global-attractor-for-a-class-of-nonautonomous-evolution-hemiv","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2021\/10\/21\/zgurovsky-m-z-dapice-c-de-maio-u-gorban-n-v-kasyanov-p-o-kapustyan-o-v-khomenko-o-v-valero-j-2021-uniform-global-attractor-for-a-class-of-nonautonomous-evolution-hemiv\/","title":{"rendered":"Zgurovsky, M.Z., D\u2019Apice, C., De Maio, U., Gorban N.V., Kasyanov P.O., Kapustyan O.V., Khomenko, O.V., Valero, J. (2021) \u00abUniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Multidimensional \u201cReaction-Velocity\u201d Law\u00bb, in Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics, Sadovnichiy, V.A., Zgurovsky, V.A. (Eds), Understanding Complex Systems, Springer, 347-368"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Michael Z. Zgurovsky (National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Politechnic Institute\u201d), Ciro D&#8217;Apice (Dipartimento di Science Aziendali-Management e Innovation Systems, University of Salerno), Umberto De-Maio (<span>Dipartimento di Matematica e Applicazioni \u201cR. Caccioppoli\u201d, Universit\u00e0 degli Studi di Napoli \u201cFederico II\u201d<\/span>), Pavlo O. Kasyanov, Olha V. Khomenko (<span>Institute for Applied System Analysis, National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d<\/span>), O. V. Kapustyan (Taras Shevchenko National University of Kyiv, Institute for Applied System Analysis, National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Polytechnic Institute\u201d) and Jos\u00e9 Valero (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hernandez de Elche)<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract:<\/strong> We consider non-autonomous evolution inclusions and hemivariation inequalities with possibly non-monotone multidimensional \u201creaction-velocity\u201d law. The dynamics of all weak solutions defined on the positive semi-axis of time is investigated. We prove the existence global attractor. New properties of complete trajectories are justified. The pointwise behavior of such problem solutions on attractor is described in the autonomous case.<\/p>","protected":false},"excerpt":{"rendered":"<p>Michael Z. Zgurovsky (National Technical University of Ukraine \u201cIgor Sikorsky Kyiv Politechnic Institute\u201d), Ciro D&#8217;Apice (Dipartimento di Science Aziendali-Management e Innovation Systems, University of Salerno), Umberto De-Maio (Dipartimento di Matematica e Applicazioni \u201cR. Caccioppoli\u201d, Universit\u00e0 degli Studi di Napoli \u201cFederico II\u201d), Pavlo O. Kasyanov, Olha V. Khomenko (Institute for Applied System Analysis, National Technical University [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25594"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25594"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25594\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25594"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25594"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25594"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}