Periodic Impact Motions at Resonance of a Particle Bouncing on Spheres and Cylinders
Abstract
<jats:title>Abstract</jats:title><jats:p>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</jats:p>