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

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  • Jingli Xie
  • Zhiguo Luo
  • Guoping Chen

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 -periodic approximation solution is a homoclinic solution of our problem.

Suggested Citation

  • Jingli Xie & Zhiguo Luo & Guoping Chen, 2013. "Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, August.
  • Handle: RePEc:hin:jnlaaa:583107
    DOI: 10.1155/2013/583107
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