Resumen de Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

Joanna Janczewska

• In this paper we study the generalized Lagrangian system with a small perturbation.

  We assume the main term in the system to have a maximum, but do not suppose any condition for perturbation term. Then we prove the existence of a periodic solution via Ekeland’s principle. Moreover, we prove a convergence theorem for periodic solutions of perturbed systems.