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

Qiang Zheng

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/417020

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:417020

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