This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a -periodic approximation solution is a homoclinic solution of our problem.
"Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems." Abstr. Appl. Anal. 2013 (SI61) 1 - 8, 2013. https://doi.org/10.1155/2013/583107