Periodic Solutions for Second Order Hamiltonian Systems with Impulses via the Local Linking Theorem

Abstract EN

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.