This paper deals via variational methods with the existence of infinitely many homoclinic orbits for a class of the first-order time-dependent Hamiltonian systems ż = JHz(t, z) without any periodicity assumption on H, providing that H(t, z) is G-symmetric with respect to z ∈ ℝ2N, is superquadratic as |z| → ∞, and satisfies some additional assumptions.
關聯:
Electronic Journal of Differential Equations, 1999: 1-12
