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 language | English |
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Pages (from-to) | 265-274 |
Number of pages | 10 |
Journal | Nonlinear Differential Equations and Applications |
Volume | 12 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2005 Dec 1 |
Keywords
- Periodic solution
- Singular Hamiltonian system
ASJC Scopus subject areas
- Analysis
- Applied Mathematics