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Periodic solutions of an indefinite singular equation arising from the Kepler problem on the sphere
- 1.0484742 - MÚ 2019 RIV CA eng J - Journal Article
Hakl, Robert - Zamora, M.
Periodic solutions of an indefinite singular equation arising from the Kepler problem on the sphere.
Canadian Journal of Mathematics. Roč. 70, č. 1 (2018), s. 173-190. ISSN 0008-414X. E-ISSN 1496-4279
Institutional support: RVO:67985840
Keywords : indefinite singularity * periodic solution * Kepler problem on S^1
OECD category: Applied mathematics
Impact factor: 0.830, year: 2018
https://cms.math.ca/10.4153/CJM-2016-050-1
We study a second-order ordinary differential equation coming from the Kepler problem on S^2. The forcing term under consideration is a piecewise constant with singular nonlinearity which changes sign. We establish necessary and sufficient conditions to the existence and multiplicity of T-periodic solutions.
Permanent Link: http://hdl.handle.net/11104/0279889
Number of the records: 1