Boundedness and convergence of solutions for the string coupled to a nonlinear oscillator

T. V. Dudnikova

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arXiv · 1604.06281

Boundedness and convergence of solutions for the string coupled to a nonlinear oscillator

T. V. Dudnikova

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Abstract

A system of equations consisting of an infinite string coupled to a nonlinear oscillator is considered. The Cauchy problem for the system with the periodic initial data is studied. The main goal is to prove the convergence of the solutions as $t\to\infty$ to a time periodic solution.

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T. V. Dudnikova. 2016-04-20. Boundedness and convergence of solutions for the string coupled to a nonlinear oscillator. https://arxiv.org/abs/1604.06281

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