Global Attractor of an Impulsive Dynamical System Generated by The wave Equation
- Authors: Kapustyan O.V.1, Romanyuk I.V.1
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Affiliations:
- Shevchenko Kyiv National University
- Issue: Vol 236, No 3 (2019)
- Pages: 300-312
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242213
- DOI: https://doi.org/10.1007/s10958-018-4112-6
- ID: 242213
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Abstract
We prove the existence and invariance of a global attractor for a discontinuous system generated by the wave equation such that solutions of the system undergo impulsive perturbations when they reach a certain fixed subset of the phase space.
About the authors
O. V. Kapustyan
Shevchenko Kyiv National University
Email: Jade.Santos@springer.com
Ukraine, Hlushkov Ave., 4, Kyiv, 03680
I. V. Romanyuk
Shevchenko Kyiv National University
Email: Jade.Santos@springer.com
Ukraine, Hlushkov Ave., 4, Kyiv, 03680
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