HOMOCLINIC ORBITS FOR SUPERLINEAR HAMILTONIAN SYSTEMS WITHOUT AMBROSETTI-RABINOWITZ GROWTH CONDITION

作者：Wang Jun^*; Xu Junxiang; Zhang Fubao

来源：Discrete and Continuous Dynamical Systems, 2010, 27(3): 1241-1257.

DOI：10.3934/dcds.2010.27.1241

• Homoclinic orbits
• Hamiltonian systems
• Linking theorem
• Variational methods

In this paper we prove the existence of homoclinic orbits for the first order non-autonomous Hamiltonian system.
(z) over dot = J H(z) (t, z),
where H (t, z) depends periodically on t. We establish some existence results of the homoclinic orbits for weak superlinear cases. To this purpose, we apply a new linking theorem to provide bounded Palais-Samle sequences.

• 出版日期2010-7
• 单位东南大学