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Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 3, Pages 45–62
DOI: https://doi.org/10.15393/j3.art.2019.6571 (Mi pa271) 		 
The limiting amplitude principle for the nonlinear Lamb system

T. V. Dudnikova

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, 4 Miusskaya sq., Moscow 125047, Russia
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DOI: https://doi.org/10.15393/j3.art.2019.6571
Abstract: A system consisting of an infinite string coupled to a nonlinear oscillator is considered. For the system, the Cauchy problem with the periodic initial data is studied. The main goal is to prove the convergence of the solutions as $t\to\infty$ to time periodic solutions.
Keywords: the nonlinear Lamb system, the Cauchy problem, periodic initial data, the limiting amplitude principle.
Funding agency Grant number
Russian Science Foundation 19-71-30004
This work was supported by the Russian Science Foundation (Grant no. 19-71-30004).
Received: 27.06.2019
Revised: 13.10.2019
Accepted: 13.10.2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35L10, 34D05, 35B40
Language: English
Citation: T. V. Dudnikova, “The limiting amplitude principle for the nonlinear Lamb system”, Probl. Anal. Issues Anal., 8(26):3 (2019), 45–62
Citation in format AMSBIB
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\by T.~V.~Dudnikova
\paper The limiting amplitude principle for the nonlinear Lamb system
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 3
\pages 45--62
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\crossref{https://doi.org/10.15393/j3.art.2019.6571}
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