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Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problemon the Sphere
Published online by Cambridge University Press: 20 November 2018
Abstract
We study a second-order ordinary differential equation coming from the Kepler problem on ${{\mathbb{S}}^{2}}$. The forcing term under consideration is a piecewise constant with singular nonlinearity that changes sign. We establish necessary and sufficient conditions to the existence and multiplicity of $T$-periodic solutions.
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- Copyright © Canadian Mathematical Society 2018
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