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Non-collision periodic solutions of forced dynamical systems with weak singularities

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  • We prove the existence of periodic solutions in a second order differential system with a singular potential of attractive or repulsive type and forced periodically. The proof is based on a Krasnoselskii fixed point theorem for absolutely continuous operators on a Banach space, and this makes possible to avoid any kind of "strong force" condition.
    Mathematics Subject Classification: 34C25.


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