info:eu-repo/semantics/article
On existence of periodic solutions for Kepler type problems
Fecha
2016-12Registro en:
Amster, Pablo Gustavo; Haddad, Julián Eduardo; On existence of periodic solutions for Kepler type problems; Juliusz Schauder Ctr Nonlinear Studies; Topological Methods In Nonlinear Analysis; 48; 2; 12-2016; 465-476
1230-3429
CONICET Digital
CONICET
Autor
Amster, Pablo Gustavo
Haddad, Julián Eduardo
Resumen
We prove existence and multiplicity of periodic motions for the forced $2$-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane and the homology of a space in $\mathbb R^3$.