Affiliation:
1. Dipartimento di Ingegneria Industriale e Scienze Matematiche , Università Politecnica delle Marche , 60131 Ancona , Italy
Abstract
Abstract
We investigate the existence of periodic trajectories of a particle, subject to a central force, which can hit a sphere or a cylinder. We will also provide a Landesman–Lazer-type condition in the case of a nonlinearity satisfying a double resonance condition. Afterwards, we will show how such a result can be adapted to obtain a new result for the impact oscillator at double resonance.
Subject
General Mathematics,Statistical and Nonlinear Physics
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