The classical perturbation theory is applied to obtain analytical results for the real and
imaginary parts of the eigen-frequencies of an oscillator attached to an inhomogenous …

We obtain long time asymptotics for the solutions to a string coupled to a nonlinear oscillator:
each finite energy solution decays to a sum of a stationary state and a dispersive wave. The …

The time evolution of an oscillator coupled to an infinite string with a discontinuous mass
density is investigated. It is shown that the equation of motion of the oscillator leads to a …

We establish the asymptotic completeness in the nonlinear Lamb system for hyperbolic
stationary states. For the proof we construct a trajectory of a reduced equation (which is a …

We establish an asymptotic completeness for the scattering in a nonlinear Lamb system with
a nontrivial set of stationary states. We consider the nonlinear system of the string coupled to …

The response of the oscillator in a Lamb problem made of two semi-infinite strings of
different mass densities to a sudden impulse is obtained using the Green's function method …

We establish the asymptotic completeness in the nonlinear Lamb system with nonzero mass
for hyperbolic stationary states. For the proof we construct a trajectory of a reduced equation …

We establish the asymptotic completeness in the nonlinear Lamb system with nonzero mass
for hyperbolic stationary states. For the proof, we construct a trajectory of a reduced equation …

The goal of this paper is to survey recent results on scattering in nonlinear conservative
Lamb's systems. A Lamb's system is a wave equation coupled with an equation of motion of …

Probamos la existencia de dinámica para el sistema de Lamb, el cual consiste de una
ecuación de onda acoplada a la ecuación de movimiento de una partıcula de masa m= 0 …