Довгострокові прогнози функцій стану квазілінійних гіперболічних систем в Rn

The quasilinear hyperbolic system in Rn with non-linear in general case interaction function is considered. The asymptotic behaviour of weak solutions for considered problem is investigated. The existing of trajection and global attractors for all weak solutions of investigated problem is proved. It...

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Bibliographic Details
Date:2011
Main Author: Gorban, N. V.
Format: Article
Language:Ukrainian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2011
Online Access:http://journal.iasa.kpi.ua/article/view/74208
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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:The quasilinear hyperbolic system in Rn with non-linear in general case interaction function is considered. The asymptotic behaviour of weak solutions for considered problem is investigated. The existing of trajection and global attractors for all weak solutions of investigated problem is proved. It is proved that the trajectories of all weak solutions passing to the stationary states.