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

David Rojas; Pedro J. Torres

doi:10.1016/j.nonrwa.2021.103441

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

David Rojas, Pedro J. Torres

Departament de Matemàtiques

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1 Citació (Scopus)

Resum

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.

Idioma original	Anglès
Revista	Nonlinear Analysis: Real World Applications
Volum	64
DOIs	https://doi.org/10.1016/j.nonrwa.2021.103441
Estat de la publicació	Publicada - 2022

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10.1016/j.nonrwa.2021.103441

https://ddd.uab.cat/record/257082

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@article{0ad2d04b86a34fd2a26ef87263647d49,

title = "Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity",

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 Poincar{\'e}-Birkhoff Theorem.",

keywords = "Periodic solution, Bouncing, Singularity, Poincar{\'e}-Birkhoff theorem",

author = "David Rojas and Torres, {Pedro J.}",

year = "2022",

doi = "10.1016/j.nonrwa.2021.103441",

language = "English",

volume = "64",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity

AU - Rojas, David

AU - Torres, Pedro J.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Periodic solution

KW - Bouncing

KW - Singularity

KW - Poincaré-Birkhoff theorem

U2 - 10.1016/j.nonrwa.2021.103441

DO - 10.1016/j.nonrwa.2021.103441

M3 - Article

SN - 1468-1218

VL - 64

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

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

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