Periodic solutions of o.d.e. systems with a lipchitz non linearity

Details Periodic solutions of o.d.e. systems with a lipchitz non linearity Periodic solutions of o.d.e. systems with a lipchitz non linearity

2011-07-13

arxiv.org/abs/1107.2503v1

Mathematics

Dynamical Systems

Scientific paper

In this report, we address differential systems with Lipschitz non linearities; this study is motivated by the subject of vibrations of structures with unilateral springs or non linear stress-strain law close to the linear case. We consider existence and solution with fixed point methods; this method is constructive and provides a numerical algorithm which is under study. We describe the method for a static case example and we address periodic solutions of differential systems arising in the vibration of structures.

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