Глобальний атрактор неавтономного хвильового рівняння без єдиності розв’язку

In the paper the non-autonomous wave equation with non-smooth right-hand side is considered. It is proved that all its weak solutions generate multi-valued non autonomous dynamical system, which has invariant global attractor in the phase space.

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Bibliographic Details
Date:2019
Main Authors: Iovane, G., Kapustyan, O. V.
Format: Article
Language:English
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2019
Online Access:http://journal.iasa.kpi.ua/article/view/165342
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:In the paper the non-autonomous wave equation with non-smooth right-hand side is considered. It is proved that all its weak solutions generate multi-valued non autonomous dynamical system, which has invariant global attractor in the phase space.