Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 37, Number 2 (2011), 259-282.
Forced oscillations in strongly damped beam equation
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.
Topol. Methods Nonlinear Anal., Volume 37, Number 2 (2011), 259-282.
First available in Project Euclid: 20 April 2016
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Ćwiszewski, Aleksander. Forced oscillations in strongly damped beam equation. Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 259--282. https://projecteuclid.org/euclid.tmna/1461184786