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

dc.contributor.authorRojas, David
dc.contributor.authorTorres Villarroya, Pedro José 
dc.date.accessioned2021-11-15T08:50:35Z
dc.date.available2021-11-15T08:50:35Z
dc.date.issued2021-10-14
dc.identifier.citationDavid Rojas, Pedro J. Torres, Periodic bouncing solutions of the Lazer–Solimini equation with weak repulsive singularity, Nonlinear Analysis: Real World Applications, Volume 64, 2022, 103441, ISSN 1468-1218, [https://doi.org/10.1016/j.nonrwa.2021.103441]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/71508
dc.descriptionWe are grateful to Rafael Ortega for bringing to our attention the position-energy system that has been crucial for the regularization of collisions. We also thank the anonymous referees for their valuable comments and suggestions that contributed to improve the initial version of the paper. This work has been realized thanks to the Agencia Estatal de Investigaci´on, Spain and Ministerio de Ciencia, Innovaci´on y Universidades, Spain grants MTM2017-82348-C2-1-P and MTM2017-86795-C3-1-P.es_ES
dc.description.abstractWe 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.es_ES
dc.description.sponsorshipAgencia Estatal de Investigación, Spain and Ministerio de Ciencia, Innovación y Universidades, Spain grants MTM2017-82348-C2-1-P and MTM2017-86795-C3-1-Pes_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectPeriodic solutiones_ES
dc.subjectBouncinges_ES
dc.subjectSingularityes_ES
dc.subjectPoincaré–Birkhoff theoremes_ES
dc.titlePeriodic bouncing solutions of the Lazer–Solimini equation with weak repulsive singularityes_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.nonrwa.2021.103441
dc.type.hasVersionVoRes_ES


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