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

Yuan Shan | Zendy; Baoqing Liu | Zendy

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

Author(s) -

Yuan Shan,

Baoqing Liu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/521059

Subject(s) - mathematics , hamiltonian system , hamiltonian (control theory) , lemma (botany) , multiplicity (mathematics) , boundary value problem , mathematical analysis , linear system , mathematical optimization , ecology , poaceae , biology

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

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