Multiplicity of periodic solution with prescribed energy to singular dynamical systems
Using the appropriate homotopical (pseudo-)index technique, multiplicity results are obtained on the existence of periodic solutions with prescribed energy for a class of dynamical systems with singular potentials. Both the cases, i.e. those of strong as well as of weak forces related to the given potential, are separately treated. The noncollision solutions, when the singularity is not crossed, are taken into account.
scientific article; zbMATH DE number 220982
scientific article