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Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential

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Abstract

In this paper we establish some new sufficient conditions on the existence of homoclinic solutions for a class of second-order Hamiltonian systems without a coercive potential. The proof is based on a new critical point theorem in combination with periodic approximation.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, PR China

    Xiang Lv

  2. Department of Mathematics, Anhui Normal University, Wuhu, 241000, Anhui, PR China

    Shiping Lu

Authors
  1. Xiang Lv
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  2. Shiping Lu
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Correspondence to Xiang Lv.

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Lv, X., Lu, S. Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential. J. Appl. Math. Comput. 39, 121–130 (2012). https://doi.org/10.1007/s12190-011-0515-y

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  • DOI: https://doi.org/10.1007/s12190-011-0515-y

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