This paper is concerned with the study of multiplicity of solutions for perturbed impulsive Hamiltonian boundary value problems of the form
where is a continuous map from the interval to the set of -order symmetric matrices, , is a real positive number, , , are the instants where the impulses occur and , ) are continuous and are measurable with respect to for every , continuously differentiable in for almost every and satisfy the following standard summability condition:
for all . A variational method and some critical points theorems are used. Examples illustrating the main results are also presented.