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  • 标题:Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems
  • 本地全文:下载
  • 作者:Huiwen Chen ; Zhimin He
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:161
  • DOI:10.1186/1687-1847-2014-161
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems. By using the dual fountain theorem, we give some new criteria to guarantee that the second-order Hamiltonian systems have infinitely many homoclinic solutions. Some recent results are generalised and significantly improved. MSC:34B08, 34B15, 34B37, 58E30.
  • 关键词:Hamiltonian systems ; homoclinic solutions ; variational methods ; critical points
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