Chengjun Guo, Ravi P. Agarwal, Chengjiang Wang, and Donal O'Regan

The Existence of Homoclinic Orbits for a Class of First-Order Superquadratic Hamiltonian Systems

Using critical point theory, we study the existence of homoclinic orbits for the first-order superquadratic Hamiltonian system
$$ \dot{z}=JH_{z}(t,z), $$
where $H(t,z)$ depends periodically on $t$ and is superquadratic.

Mathematics Subject Classification: 34K13, 34K18, 58E50

Key words and phrases: Homoclinic orbit, Hamiltonian system, critical point theory