On the Existence of Forced Oscillations for the Spherical Pendulum Acted on by a Retarded Periodic Force |
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| Authors: | Pierluigi Benevieri Alessandro Calamai Massimo Furi Maria Patrizia Pera |
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| Affiliation: | 1. Dipartimento di Matematica Applicata “Giovanni Sansone”, Università degli Studi di Firenze, Via S. Marta 3, 50139, Firenze, Italy
2. Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 60131, Ancona, Italy
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| Abstract: | We show that, under mild conditions, T-periodic retarded functional motion equations on even-dimensional spheres admit forced oscillations. In this way we extend analogous results for the undelayed case due to the last two authors. A crucial role in our argument is played by a quite general continuation result, obtained in a recent paper, for forced oscillations of retarded functional motion equations on compact topologically nontrivial boundaryless manifolds. |
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