Failure of convergence of the Lax-Oleinik semi-group in the time periodic case
Forced oscillations of beams on elastic bearings.
Forced periodic oscillations in the climate system via an energy balance model
Forced periodic vibrations of an elastic system with elastico-plastic damping
We prove the existence and find necessary and sufficient conditions for the uniqueness of the time-periodic solution to the equations for an arbitrary (sufficiently smooth) periodic right-hand side , where denotes the Laplace operator with respect to , and is the Ishlinskii hysteresis operator. For this equation describes e.g. the vibrations of an elastic membrane in an elastico-plastic medium.
Forced vibrations in one-dimensional nonlinear thermoelasticity as a local coercive-like problem
Forced vibrations of wave equations with non-monotone nonlinearities
Free vibrations for the equation of a rectangular thin plate
In the paper, we deal with the equation of a rectangular thin plate with a simply supported boundary. The restoring force being an odd superlinear function of the vertical displacement, the existence of infinitely many nonzero time-periodic solutions is proved.