A remark on periodic solutions of singular Hamiltonian systems

Shinji Adachi*, Kazunaga Tanaka, Masahito Terui

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this note we study the existence of non-collision periodic solutions for singular Hamiltonian systems with weak force. In particular for potential V(t,q) ∼ - 1/dist(q,D)α, where D is a compact C 3-surface in ℝN, we prove the existence of a non-collision periodic solution.

Original languageEnglish
Pages (from-to)265-274
Number of pages10
JournalNonlinear Differential Equations and Applications
Issue number3
Publication statusPublished - 2005 Dec 1


  • Periodic solution
  • Singular Hamiltonian system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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