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Repozytorium publikacji
Politechniki Gdańskiej

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Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

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.

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