Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems. (English) Zbl 1283.37038

Summary: A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodic and do not necessarily satisfy the global Ambrosetti-Rabinowitz condition.


37C29 Homoclinic and heteroclinic orbits for dynamical systems
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
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