Bifurcation for second-order Hamiltonian systems with periodic boundary conditions
type: Item
instance of: scholarly article
title: Bifurcation for second-order Hamiltonian systems with periodic boundary conditions
zbMATH Open document ID: 1144.37025
DOI: 10.1155/2008/756934
author: Francesca Faraci
author: Antonio Iannizzotto
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/54462
review text: Summary: Through variational methods, we study nonautonomous systems of second-order ordinary differential equations with periodic boundary conditions. First, we deal with a nonlinear system, depending on a function \(u\), and prove that the set of bifurcation points for the solutions of the system is not \(\sigma \)-compact. Then, we deal with a linear system depending on a real parameter \(\lambda >0\) and on a function \(u\), and prove that there exists \(\lambda ^{\ast }\) such that the set of the functions \(u\), such that the system admits nontrivial solutions, contains an accumulation point.
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 37C60
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5313165
zbMATH Keywords: variational methods
zbMATH Keywords: nonautonomous systems
zbMATH Keywords: second-order ordinary differential equations
zbMATH Keywords: bifurcation points
Wikidata QID: Q58644389
MaRDI profile type: Publication
OpenAlex ID: W2021398636
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description: scientific article; zbMATH DE number 5313165