Article contents
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.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2018
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20190725024121719-0262:S0008414X00055528:S0008414X00055528_inline1.gif?pub-status=live)
- 5
- Cited by