Homoclinic orbits for superlinear Hamiltonian systems
without Ambrosetti-Rabinowitz growth condition
Jun Wang - Department of Mathematics, Southeast University, Nanjing 210096, China (email)
Abstract: In this paper we prove the existence of homoclinic orbits for the first order non-autonomous Hamiltonian system
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.
Keywords: Homoclinic orbits; Hamiltonian systems;
Linking theorem; Variational methods.
Received: September 2009; Revised: January 2010; Published: March 2010.
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