Geodesic
The limiting amplitude principle for the nonlinear Lamb system
Problemy analiza, Tome 8 (2019) no. 3, pp. 45-62.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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T. V. Dudnikova. The limiting amplitude principle for the nonlinear Lamb system. Problemy analiza, Tome 8 (2019) no. 3, pp. 45-62. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a4/

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