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dc.contributor.advisorRyden, David James, 1971-
dc.contributor.authorOtey, Andrew
dc.contributor.otherBaylor University.en_US
dc.date.accessioned2018-05-21T16:48:38Z
dc.date.available2018-05-21T16:48:38Z
dc.date.copyright2018
dc.date.issued2018-05-21
dc.identifier.urihttp://hdl.handle.net/2104/10280
dc.description.abstractSharkovskii's remarkable theorem from 1964 demonstrated significant results about periodic orbits of continuous functions on the real line. His work produced the Sharkovskii ordering. If m >> n in the Sharkovskii ordering and if f has a periodic orbit of period m, it must also have a periodic orbit of period n. While Sharkovskii worked with classical continuous functions, this paper expands Sharkovskii's theorem to a class of set-valued functions. In particular, we show that the ordering holds for upper semicontinuous set-valued functions with the strong intermediate value property.en_US
dc.language.isoen_USen_US
dc.rightsBaylor University projects are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission.en_US
dc.subjectSharkovskii's theorem.en_US
dc.subjectSet-valued functions.en_US
dc.subjectDynamical systems.en_US
dc.titleSharkovskii's Theorem Under Set-Valued Functionsen_US
dc.typeThesisen_US
dc.rights.accessrightsWorldwide accessen_US
dc.contributor.departmentBaylor Business Fellows.en_US
dc.contributor.schoolsHonors College.en_US


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