Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems

We establish a multiplicity result to an eigenvalue problem related to second-order Hamiltonian systems. Under new assumptions, we prove the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.

Saved in:
Bibliographic Details
Main Author: Giuseppe Cordaro
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503305044
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554197818540032
author Giuseppe Cordaro
author_facet Giuseppe Cordaro
author_sort Giuseppe Cordaro
collection DOAJ
description We establish a multiplicity result to an eigenvalue problem related to second-order Hamiltonian systems. Under new assumptions, we prove the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.
format Article
id doaj-art-053b80402a654e5a8c12e6e8d0151833
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2003-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-053b80402a654e5a8c12e6e8d01518332025-02-03T05:52:09ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003181037104510.1155/S1085337503305044Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systemsGiuseppe Cordaro0Department of Mathematics, University of Messina, Salita Sperone 31, Messina 98166, ItalyWe establish a multiplicity result to an eigenvalue problem related to second-order Hamiltonian systems. Under new assumptions, we prove the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.http://dx.doi.org/10.1155/S1085337503305044
spellingShingle Giuseppe Cordaro
Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
Abstract and Applied Analysis
title Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
title_full Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
title_fullStr Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
title_full_unstemmed Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
title_short Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems
title_sort three periodic solutions to an eigenvalue problem for a class of second order hamiltonian systems
url http://dx.doi.org/10.1155/S1085337503305044
work_keys_str_mv AT giuseppecordaro threeperiodicsolutionstoaneigenvalueproblemforaclassofsecondorderhamiltoniansystems