Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems
Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems
In the present paper, we deal with the existence of infinitely many homoclinic solutions for the second-order self-adjoint discrete Hamiltonian system where and are real symmetric matrices for all , and is always positive definite. Under the assumptions that is allowed to be sign-changing and satisfies is of indefinite sign …