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

Autor: Dudnikova, T. V.
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages
Databáze: arXiv