Abstract
Our randomized Sharkovsky-type theorems are applied to random impulsive differential equations and inclusions in order to establish the coexistence of random periodic solutions with various periods, which are forced according to the Sharkovsky ordering of positive integers. The impulses can be single-valued or multivalued and deterministic or random. The obtained theorems can be rather curiously stronger than their deterministic analogies. The relationship to deterministic chaos is also indicated.
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