Randomization of Sharkovskii-type theorems

Andres, Jan

doi:10.1090/S0002-9939-07-09242-8

Randomization of Sharkovskii-type theorems
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by Jan Andres

Proc. Amer. Math. Soc. 136 (2008), 1385-1395

DOI: https://doi.org/10.1090/S0002-9939-07-09242-8

Published electronically: December 18, 2007

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Erratum: Proc. Amer. Math. Soc. 136 (2008), 3733-3734.

Abstract:

We formulate an abstract scheme for the randomization of Sharkovskii-type theorems via transformation to the deterministic case. In particular, Sharkovskii-type theorems for scalar differential equations can be randomized in this way. A random version of the standard Sharkovskii theorem is presented explicitly. Many remarks, comments and illustrating examples are supplied.

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