Forced oscillations in strongly damped beam equation

Aleksander Ćwiszewski

Abstract


It is proved that the extensible beam equation in Ball's model
admits periodic solutions near equilibrium states if subject
to external periodic force of high frequency.
The approach is based on translation along trajectories, averaging method
and homotopy invariants such as topological degree and fixed point index.

Keywords


Beam equation; periodic solution; averaging; topological degree; fixed point index

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