location: Current position: Home >> Scientific Research >> Paper Publications

Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation

Hits:

Indexed by:期刊论文

Date of Publication:2010-01-01

Journal:BOUNDARY VALUE PROBLEMS

Included Journals:SCIE、Scopus

Volume:2010

ISSN No.: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.

Pre One:Existence of Periodic Solutions of Linear Hamiltonian Systems

Next One:Computations of critical groups and applications to some differential equations at resonance