A class of second order impulsive Hamiltonian systems are considered. By applying a local linking theorem, we establish the new criterion to guarantee that this impulsive Hamiltonian system has at least one nontrivial T-periodic solution under local superquadratic condition. This result generalizes and improves some existing results in the known literature.
Longsheng Bao. Binxiang Dai. "Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/250870