Homoclinic orbits for a class of discrete periodic Hamiltonian systems

Zhang, Qinqin

doi:10.1090/S0002-9939-2015-12107-7

Homoclinic orbits for a class of discrete periodic Hamiltonian systems
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Proc. Amer. Math. Soc. 143 (2015), 3155-3163 Request permission

Abstract:

In this paper we establish new criteria for the existence of nontrivial homoclinic orbits to a class of discrete Hamiltonian systems. Our results do not need to suppose that the system satisfies the well-known global Ambrosetti-Rabinowitz superquadratic assumption.

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