The asymptotic behavior of solutions to the Cauchy problem with periodic initial data for the nonlinear Lamb system
A model 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 time periodic solutions.
the nonlinear Lamb system, the Cauchy problem, periodic initial data, the limit amplitude principle
Mathematical problems and theory of numerical methods