Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-01-01

Journal: BOUNDARY VALUE PROBLEMS

Included Journals: Scopus、SCIE

Volume: 2010

ISSN: 1687-2762

Abstract: We investigate the existence of periodic solutions of linear Hamiltonian systems with a nonlinear perturbation. Under generalized Ahmad-Lazer-Paul type coercive conditions for the nonlinearity on the kernel of the linear part, existence of periodic solutions is obtained by saddle point theorems. A note on a result of Rabinowitz is also given.