Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems | Zendy

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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems

Author(s) -

Qiang Zheng

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/417020

Subject(s) - homoclinic orbit , mathematics , hamiltonian system , minimax , boundary value problem , mathematical analysis , limit (mathematics) , order (exchange) , hamiltonian (control theory) , sequence (biology) , limit point , nonlinear system , mathematical economics , mathematical optimization , bifurcation , physics , finance , quantum mechanics , biology , economics , genetics

We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the minimax methods. Some recent results in the literature are generalized and extended

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