Sharkovskii's Theorem Under Set-Valued Functions
| dc.contributor.advisor | Ryden, David James, 1971- | |
| dc.contributor.author | Otey, Andrew | |
| dc.contributor.department | Baylor Business Fellows. | en_US |
| dc.contributor.other | Baylor University. | en_US |
| dc.contributor.schools | Honors College. | en_US |
| dc.date.accessioned | 2018-05-21T16:48:38Z | |
| dc.date.available | 2018-05-21T16:48:38Z | |
| dc.date.copyright | 2018 | |
| dc.date.issued | 2018-05-21 | |
| dc.description.abstract | Sharkovskii'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.identifier.uri | http://hdl.handle.net/2104/10280 | |
| dc.language.iso | en_US | en_US |
| dc.rights | Baylor 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.rights.accessrights | Worldwide access | en_US |
| dc.subject | Sharkovskii's theorem. | en_US |
| dc.subject | Set-valued functions. | en_US |
| dc.subject | Dynamical systems. | en_US |
| dc.title | Sharkovskii's Theorem Under Set-Valued Functions | en_US |
| dc.type | Thesis | en_US |
Files
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.87 KB
- Format:
- Item-specific license agreed upon to submission
- Description: