Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problem on the Sphere

DOI10.4153/CJM-2016-050-1zbMath1388.34035OpenAlexW2561339048MaRDI QIDQ4609545

Robert Hakl, Manuel Zamora

Publication date: 4 April 2018

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2016-050-1

zbMATH Keywords

periodic solutiondegree theorysingular differential equationindefinite singularity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Two-body problems (70F05) Applications of operator theory to differential and integral equations (47N20) Celestial mechanics (70F15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (7)

Stability and exact periodic solutions of indefinite equations arising from the Kepler problem on the sphere ⋮ Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity ⋮ Periodic and soliton structures in a generalized Klein-Gordon equation with horizontal singular lines ⋮ Some results on the existence and multiplicity of Dirichlet type solutions for a singular equation coming from a Kepler problem on the sphere ⋮ Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities ⋮ Periodic solutions for a second-order differential equation with indefinite weak singularity ⋮ Periodic solutions for a singular Liénard equation with indefinite weight

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