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On the spatial asymptotics of solutions of the Toda lattice
Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition
| 1. | Department of Mathematics, Southeast University, Nanjing 210096, China, China, China |
$\dot{z}=\mathcal {J}H_{z}(t,z),$
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.
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