Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions

Andres, Jan; Barbarski, Paweł

doi:10.1090/proc/13014

Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions
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by Jan Andres and Paweł Barbarski

Proc. Amer. Math. Soc. 144 (2016), 1971-1983

DOI: https://doi.org/10.1090/proc/13014

Published electronically: January 26, 2016

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Abstract:

Two multivalued deterministic versions of the celebrated Sharkovsky cycle coexistence theorem are randomized in terms of very general random periodic orbits. It is also shown that nontrivial subharmonics of scalar random upper-Carathéodory differential inclusions imply the coexistence of random subharmonics of all orders.

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