Periodic bouncing solutions of the Lazer-Solimini equation with weak\n repulsive singularity

2020/05/21 by David Rojas, Rojas, David, Pedro J. Torres +1 · 1 citation
Mathematics · Computer Science · Engineering · #Nonlinear Differential Equations Analysis #Contact Mechanics and Variational Inequalities #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2005.10521

Abstract

We prove the existence and multiplicity of periodic solutions of bouncing\ntype for a second-order differential equation with a weak repulsive\nsingularity. Such solutions can be catalogued according to the minimal period\nand the number of elastic collisions with the singularity in each period. The\nproof relies on the Poincar 'e-Birkhoff Theorem.\n

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