Infinitely many rotating periodic solutions for damped vibration systems

K. Khachnaoui

Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 2, pp. 330-340

Résumé

We investigate a particular type of damped vibration systems that incorporate impulsive effects. The objective is to establish the existence and multiplicity of $Q$-rotating periodic solutions. To achieve this, the variational method and the fountain theorem, as presented by Bartsch, are used. The research builds upon recent findings and extends them by introducing notable enhancements.

Détail

Keywords: impulsive problem, rotating periodic solutions, Fountain theorem, critical point, damped vibration systems.

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