Corpus ID: 218763571

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

@article{Rojas2020PeriodicBS,
  title={Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity},
  author={David Rojas and Pedro J. Torres},
  journal={arXiv: Dynamical Systems},
  year={2020}
}
  • David Rojas, Pedro J. Torres
  • Published 2020
  • Mathematics
  • arXiv: Dynamical Systems
  • We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be catalogued according to the minimal period and the number of elastic collisions with the singularity in each period. The proof relies on the Poincare-Birkhoff Theorem.