Homoclinic Solutions for a Class of the Second‐Order Impulsive Hamiltonian Systems

Jingli Xie, Zhiguo Luo and Guoping Chen

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

Abstract: This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT‐periodic approximation solution is a homoclinic solution of our problem.

Date: 2013
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https://doi.org/10.1155/2013/583107

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:583107

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