Existence of periodic solutions for non-autonomous second-order Hamiltonian systems

The purpose of this paper is to study the existence of periodic solutions for a class of non-autonomous second order Hamiltonian systems. New results are obtained by using the least action principle and the minimax methods, without the so-called Ahmad-Lazer-Paul type condition.

Bibliographic Details
Main Authors:	Yue Wu, Tianqing An
Format:	Article
Language:	English
Published:	Texas State University 2013-03-01
Series:	Electronic Journal of Differential Equations
Subjects:	Periodic solution Hamiltonian systems critical point variational method
Online Access:	http://ejde.math.txstate.edu/Volumes/2013/77/abstr.html

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record_format	Article
spelling	doaj-c17d9635ca994d779fd2fc99a726b3b82020-11-24T21:16:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-03-01201377,113Existence of periodic solutions for non-autonomous second-order Hamiltonian systemsYue WuTianqing AnThe purpose of this paper is to study the existence of periodic solutions for a class of non-autonomous second order Hamiltonian systems. New results are obtained by using the least action principle and the minimax methods, without the so-called Ahmad-Lazer-Paul type condition. http://ejde.math.txstate.edu/Volumes/2013/77/abstr.htmlPeriodic solutionHamiltonian systemscritical pointvariational method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yue Wu Tianqing An
spellingShingle	Yue Wu Tianqing An Existence of periodic solutions for non-autonomous second-order Hamiltonian systems Electronic Journal of Differential Equations Periodic solution Hamiltonian systems critical point variational method
author_facet	Yue Wu Tianqing An
author_sort	Yue Wu
title	Existence of periodic solutions for non-autonomous second-order Hamiltonian systems
title_short	Existence of periodic solutions for non-autonomous second-order Hamiltonian systems
title_full	Existence of periodic solutions for non-autonomous second-order Hamiltonian systems
title_fullStr	Existence of periodic solutions for non-autonomous second-order Hamiltonian systems
title_full_unstemmed	Existence of periodic solutions for non-autonomous second-order Hamiltonian systems
title_sort	existence of periodic solutions for non-autonomous second-order hamiltonian systems
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2013-03-01
description	The purpose of this paper is to study the existence of periodic solutions for a class of non-autonomous second order Hamiltonian systems. New results are obtained by using the least action principle and the minimax methods, without the so-called Ahmad-Lazer-Paul type condition.
topic	Periodic solution Hamiltonian systems critical point variational method
url	http://ejde.math.txstate.edu/Volumes/2013/77/abstr.html
work_keys_str_mv	AT yuewu existenceofperiodicsolutionsfornonautonomoussecondorderhamiltoniansystems AT tianqingan existenceofperiodicsolutionsfornonautonomoussecondorderhamiltoniansystems
_version_	1726016507704508416

Existence of periodic solutions for non-autonomous second-order Hamiltonian systems

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