
doi: 10.1155/2012/720139
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 periodical and need not satisfy the global Ambrosetti‐Rabinowitz condition.
QA1-939, Homoclinic and heteroclinic orbits for dynamical systems, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Mathematics
QA1-939, Homoclinic and heteroclinic orbits for dynamical systems, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Mathematics
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