Lv, Xiang2022-06-102022-06-102017-09-07Lv, X. (2017). Homoclinic solutions for a class of second-order Hamiltonian systems with locally defined potentials. Electronic Journal of Differential Equations, 2017(205), pp. 1-7.1072-6691https://hdl.handle.net/10877/15899In this article, we establish sufficient conditions for the existence of homoclinic solutions for a class of second-order Hamiltonian systems ü(t) - L(t)u(t) + ∇W (t, u(t)) = ƒ(t), where L(t) is a positive definite symmetric matrix for all t ∈ ℝ. It is worth pointing out that the potential function W(t, u) is locally defined and can be superquadratic or subquadratic with respect to u.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalHomoclinic solutionsHamiltonian systemsVariational methodsArticle