Аннотация:We establish the asymptotic completeness in the nonlinear Lamb syst
em for hyperbolic
stationary states. For the proof we construct a trajectory of
a reduced equation (which is a
nonlinear nonautonomous ODE) converging to a hyperbolic stationa
ry point using the Inverse
Function Theorem in a Banach space. We give the counterexamples s
howing nonexistence
of such trajectories for nonhyperbolic stationary points.