Periodic solutions of singular systems without the strong force condition

Franco, Daniel; Torres, Pedro

doi:10.1090/S0002-9939-07-09226-X

Periodic solutions of singular systems without the strong force condition
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by Daniel Franco and Pedro J. Torres

Proc. Amer. Math. Soc. 136 (2008), 1229-1236

DOI: https://doi.org/10.1090/S0002-9939-07-09226-X

Published electronically: December 27, 2007

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Abstract:

We present sufficient conditions for the existence of at least a non-collision periodic solution for singular systems under weak force conditions. We deal with two different types of systems. First, we assume that the system is generated by a potential, and then we consider systems without such hypothesis. In both cases we use the same technique based on Schauder fixed point theorem. Recent results in the literature are significantly improved.

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