Electronic Journal of Differential Equations,
Vol. 2015 (2015), No. 204, pp. 1-17.

Title: Nontrivial periodic solutions to second-order impulsive Hamiltonian systems

Authors: John R. Graef (Univ. of Tennessee, Chattanooga, TN, USA)
         Shapour Heidarkhani (Razi Univ., Kermanshah, Iran)
         Lingju Kong   (Univ. of Tennessee, Chattanooga, TN, USA)

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.

Submitted June 26, 2015. Published August 10, 2015.
Math Subject Classifications: 34B15, 47J10.
Key Words: Nontrivial periodic solution; impulsive Hamiltonian system;
           critical point theory; mountain pass theorem; variational methods.