Nontrivial periodic solutions to second-order impulsive Hamiltonian systems

Abstract

Based on variational methods and critical point theory, we study the existence of nontrivial periodic solutions to a class of second-order impulsive Hamiltonian systems. A unique feature of the approach used here is that we use a combination of techniques to obtain the existence of multiple solutions.

Keywords

• Nontrivial periodic solution
• impulsive Hamiltonian system
• critical point theory
• mountain pass theorem
• variational methods