Homoclinic solutions for a class of second-order Hamiltonian systems☆

By Xiang Lv, Shiping Lu, Jifa Jiang. 2012

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Homoclinic Solutions for a Class of Second Order Hamiltonian Systems (2011, unknown): “Assuming that L(t) and W (t, q) [not necessarily of the kind W (t, q) = a(t)U(q)] are independent of t or periodic in t, many authors have studied the existence of homoclinic solutions for the Hamiltonian system (HS), see for instance [2,4,6,8–10,18,21] and the references therein and some more gener”
Variational approach to solutions for a class of fractional Hamiltonian systems (2014, background): “t, u/ are independent of t or periodic in t, many authors have studied the existence of homoclinic solutions for the Hamiltonian system (HS) (see for instance [16–18] and the references therein), and some more general Hamiltonian systems are considered in the recent papers [19, 20].”
Existence and multiplicity of homoclinic solutions for a class of damped vibration problems (2011, unknown): “1), (for example, see [1–15]).”