New periodic solutions for the singular Hamiltonian system
type: Item
instance of: scholarly article
title: New periodic solutions for the singular Hamiltonian system
zbMATH Open document ID: 1474.37060
DOI: 10.1155/2014/703539
author: Yi Liao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.
Mathematics Subject Classification ID: 37J06
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 7022910
Wikidata QID: Q59040744
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/703539
OpenAlex ID: W2042067448
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description: scientific article; zbMATH DE number 7022910