Korman, PhilipLazer, Alan C.2018-08-212018-08-211994-02-15Korman, P. & Lazer, A. C. (1994). Homoclinic orbits for a class of symmetric Hamiltonian systems. <i>Electronic Journal of Differential Equations, 1994</i>(01), pp. 1-10.1072-6691https://hdl.handle.net/10877/7559We study existence of homoclinic orbits for a class of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalHomoclinic orbitsMountain-pass lemmaArticle