TY - JOUR
T1 - A remark on periodic solutions of singular Hamiltonian systems
AU - Adachi, Shinji
AU - Tanaka, Kazunaga
AU - Terui, Masahito
PY - 2005/12/1
Y1 - 2005/12/1
N2 - 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.
AB - 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.
KW - Periodic solution
KW - Singular Hamiltonian system
UR - http://www.scopus.com/inward/record.url?scp=28944433762&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=28944433762&partnerID=8YFLogxK
U2 - 10.1007/s00030-003-1069-y
DO - 10.1007/s00030-003-1069-y
M3 - Article
AN - SCOPUS:28944433762
VL - 12
SP - 265
EP - 274
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
SN - 1021-9722
IS - 3
ER -