Jiang, WeiZhang, Qingye2023-06-152023-06-152016-03-10Jiang, W., & Zhang, Q. (2016). Multiple homoclinic solutions for superquadratic Hamiltonian systems. Electronic Journal of Differential Equations, 2016(66), pp. 1-12.1072-6691https://hdl.handle.net/10877/16938In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ü - L(t)u + Wu(t, u) = 0, ∀t ∈ ℝ, where L is not required to be either uniformly positive definite or coercive, and W is superquadratic at infinity in u but does not need to satisfy the Ambrosetti-Rabinowitz superquadratic condition.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalHamiltonian systemHomoclinic solutionVariational methodArticle