Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

<p>Abstract</p> <p>Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.</p> <p><b>Mathema...

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Main Authors: Zhang Jihui, Wang Zhiyong
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Subjects:
Online Access:http://www.boundaryvalueproblems.com/content/2011/1/23
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author Zhang Jihui
Wang Zhiyong
author_facet Zhang Jihui
Wang Zhiyong
author_sort Zhang Jihui
collection DOAJ
description <p>Abstract</p> <p>Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.</p> <p><b>Mathematics Subject Classification (2000): </b>34C25, 37J45, 58E50.</p>
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1687-2770
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spelling doaj.art-f27d767b6ce24e9abcd3754efa1249cd2022-12-21T20:28:19ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-012011123Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearityZhang JihuiWang Zhiyong<p>Abstract</p> <p>Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.</p> <p><b>Mathematics Subject Classification (2000): </b>34C25, 37J45, 58E50.</p>http://www.boundaryvalueproblems.com/content/2011/1/23Control functionPeriodic solutionsThe least action principleMinimax methods
spellingShingle Zhang Jihui
Wang Zhiyong
Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
Boundary Value Problems
Control function
Periodic solutions
The least action principle
Minimax methods
title Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
title_full Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
title_fullStr Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
title_full_unstemmed Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
title_short Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
title_sort periodic solutions for nonautonomous second order hamiltonian systems with sublinear nonlinearity
topic Control function
Periodic solutions
The least action principle
Minimax methods
url http://www.boundaryvalueproblems.com/content/2011/1/23
work_keys_str_mv AT zhangjihui periodicsolutionsfornonautonomoussecondorderhamiltoniansystemswithsublinearnonlinearity
AT wangzhiyong periodicsolutionsfornonautonomoussecondorderhamiltoniansystemswithsublinearnonlinearity