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Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential

Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential

In the present paper, we deal with the existence and multiplicity of homoclinic solutions of the second-order self-adjoint discrete Hamiltonian system Under the assumption that is of indefinite sign and subquadratic as and and are real symmetric positive definite matrices for all , and that for some constant , we …