A remark on periodic solutions of singular Hamiltonian systems

Shinji Adachi; Kazunaga Tanaka; Masahito Terui

doi:10.1007/s00030-003-1069-y

A remark on periodic solutions of singular Hamiltonian systems

Shinji Adachi, Kazunaga Tanaka, Masahito Terui

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 ℝ^N, we prove the existence of a non-collision periodic solution.

Original language	English
Pages (from-to)	265-274
Number of pages	10
Journal	Nonlinear Differential Equations and Applications
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/s00030-003-1069-y
Publication status	Published - 2005 Dec 1

Keywords

Periodic solution
Singular Hamiltonian system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

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KW - Singular Hamiltonian system

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