Qinqin Zhang
Abstract
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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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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.
Key concepts: Homoclinic orbit, Hamiltonian system, Class (philosophy), Mathematics, Pure mathematics, Hamiltonian (control theory), Periodic orbits, Discrete mathematics