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An Extension of Sharkovsy’s Theorem to Periodic Difference Equations

Al-Sharawi, Ziyad
; 
Angelos, James
; 
Elaydi, Saber
; 
Rakesh, Leela
Date
2006
Authors
Al-Sharawi, Ziyad
Angelos, James
Elaydi, Saber
Rakesh, Leela
Advisor
Type
Peer-Reviewed
Article
Preprint
Degree
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extension_of_sharkowvskys_theorem.pdf
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Description
Abstract
We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.
DSpace URI
http://hdl.handle.net/11073/16687
External URI
https://doi.org/10.1016/j.jmaa.2005.04.059
Collections
Department of Mathematics and Statistics
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