Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions

This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an appl...

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Main Authors: Yuan Shan, Baoqing Liu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/521059
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spelling doaj-daa2d3b74c89439e82ef17972450d8352020-11-24T22:40:33ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/521059521059Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary ConditionsYuan Shan0Baoqing Liu1School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, ChinaSchool of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210023, ChinaThis paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.http://dx.doi.org/10.1155/2013/521059
collection DOAJ
language English
format Article
sources DOAJ
author Yuan Shan
Baoqing Liu
spellingShingle Yuan Shan
Baoqing Liu
Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
Journal of Applied Mathematics
author_facet Yuan Shan
Baoqing Liu
author_sort Yuan Shan
title Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
title_short Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
title_full Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
title_fullStr Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
title_full_unstemmed Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions
title_sort multiple solutions for generalized asymptotical linear hamiltonian systems satisfying bolza boundary conditions
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description This paper is devoted to multiple solutions of generalized asymptotical linear Hamiltonian systems satisfying Bolza boundary conditions. We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.
url http://dx.doi.org/10.1155/2013/521059
work_keys_str_mv AT yuanshan multiplesolutionsforgeneralizedasymptoticallinearhamiltoniansystemssatisfyingbolzaboundaryconditions
AT baoqingliu multiplesolutionsforgeneralizedasymptoticallinearhamiltoniansystemssatisfyingbolzaboundaryconditions
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