@misc{10481/71508, year = {2021}, month = {10}, url = {http://hdl.handle.net/10481/71508}, abstract = {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 cataloged according to the minimal period and the number of elastic collisions with the singularity in each period. The proof relies on the Poincaré–Birkhoff Theorem.}, organization = {Agencia Estatal de Investigación, Spain and Ministerio de Ciencia, Innovación y Universidades, Spain grants MTM2017-82348-C2-1-P and MTM2017-86795-C3-1-P}, publisher = {Elsevier}, keywords = {Periodic solution}, keywords = {Bouncing}, keywords = {Singularity}, keywords = {Poincaré–Birkhoff theorem}, title = {Periodic bouncing solutions of the Lazer–Solimini equation with weak repulsive singularity}, doi = {10.1016/j.nonrwa.2021.103441}, author = {Rojas, David and Torres Villarroya, Pedro José}, }