Multiplicity of periodic solution with prescribed energy to singular dynamical systems
type: Item
instance of: scholarly article
title: Multiplicity of periodic solution with prescribed energy to singular dynamical systems
zbMATH Open document ID: 0771.34035
DOI: 10.1016/S0294-1449(16)30224-4
author: Susanna Terracini
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1993-06-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78292
review text: 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.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 220982
zbMATH Keywords: singular Hamiltonian systems
zbMATH Keywords: critical point theory
zbMATH Keywords: homotopical index
zbMATH Keywords: multiplicity
zbMATH Keywords: periodic solutions
zbMATH Keywords: singular potentials
zbMATH Keywords: noncollision solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 220982