Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour
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| dc.contributor.author | Banasiak, Jacek
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| dc.contributor.author | Bloch, Adam
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| dc.date.accessioned | 2023-04-04T05:55:24Z | |
| dc.date.available | 2023-04-04T05:55:24Z | |
| dc.date.issued | 2022-12 | |
| dc.description | The research was completed while A. B. was a doctoral candidate in the Interdisciplinary Doctoral School at Łodź University of Technology, Poland. | en_US |
| dc.description.abstract | In this paper we present an explicit formula for the semigroup governing the solution to hyperbolic systems on a metric graph, satisfying general linear Kirchhoff's type boundary conditions. Further, we use this representation to establish the long term behaviour of the solutions. The crucial role is played by the spectral decomposition of the boundary matrix. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.librarian | hj2023 | en_US |
| dc.description.sponsorship | Partial support from the National Science Centre of Poland and the National Research Foundation of South Africa. | en_US |
| dc.description.uri | https://www.aimsciences.org/journal/A0000-0000 | en_US |
| dc.identifier.citation | Jacek Banasiak, Adam Błoch. Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour. Evolution Equations and Control Theory, 2022, 11(6): 2165-2181. doi: 10.3934/eect.2022016. | en_US |
| dc.identifier.issn | 2163-2480 (online) | |
| dc.identifier.other | 10.3934/eect.2022016 | |
| dc.identifier.uri | http://hdl.handle.net/2263/90330 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Institute of Mathematical Sciences | en_US |
| dc.rights | © 2023 American Institute of Mathematical Sciences | en_US |
| dc.subject | Spectral projections of matrices | en_US |
| dc.subject | Perron–Frobenius theory | en_US |
| dc.subject | Long-term behaviour | en_US |
| dc.subject | Semigroups of operators | en_US |
| dc.subject | Hyperbolic systems on networks | en_US |
| dc.subject | Port-Hamiltonians | en_US |
| dc.title | Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour | en_US |
| dc.type | Postprint Article | en_US |
