Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems

الملخص EN

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.