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Repozytorium publikacji
Politechniki Gdańskiej

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A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems

In this work we will be concerned with the existence of an almost homoclinic solution for a perturbed Newtonian system in a finite dimensional space. It is assumed that a potential is C^1 smooth and its gradient is bounded with respect to a time variable. Moreover, a forcing term is continuous, bounded and squere integrable. We will show that the appproximative scheme due to J. Janczewska for a time periodic potential extends to our case.

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