A remark on periodic solutions of singular Hamiltonian systems

Shinji Adachi, Kazunaga Tanaka, Masahito Terui

    Research output: Contribution to journal › Article

    2 Citations (Scopus)

    Abstract

    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
    Volume12
    Issue number3
    DOIs
    Publication statusPublished - 2005 Dec

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    Hamiltonians
    Singular Systems
    Hamiltonian Systems
    Periodic Solution

    Keywords

    • Periodic solution
    • Singular Hamiltonian system

    ASJC Scopus subject areas

    • Applied Mathematics
    • Analysis

    Cite this

    A remark on periodic solutions of singular Hamiltonian systems. / Adachi, Shinji; Tanaka, Kazunaga; Terui, Masahito.

    In: Nonlinear Differential Equations and Applications, Vol. 12, No. 3, 12.2005, p. 265-274.

    Research output: Contribution to journal › Article

    Adachi, S, Tanaka, K & Terui, M 2005, 'A remark on periodic solutions of singular Hamiltonian systems', Nonlinear Differential Equations and Applications, vol. 12, no. 3, pp. 265-274. https://doi.org/10.1007/s00030-003-1069-y
    Adachi S, Tanaka K, Terui M. A remark on periodic solutions of singular Hamiltonian systems. Nonlinear Differential Equations and Applications. 2005 Dec;12(3):265-274. https://doi.org/10.1007/s00030-003-1069-y
    Adachi, Shinji ; Tanaka, Kazunaga ; Terui, Masahito. / A remark on periodic solutions of singular Hamiltonian systems. In: Nonlinear Differential Equations and Applications. 2005 ; Vol. 12, No. 3. pp. 265-274.
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