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Article
An Extension of Sharkovsky’s Theorem to Periodic Difference Equations
Journal of Mathematical Analysis and Applications
  • Ziyad AlSharawi
  • James Angelos
  • Saber Elaydi, Trinity University
  • Leela Rakesh
Document Type
Post-Print
Publication Date
4-1-2006
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.

Identifier
10.1016/j.jmaa.2005.04.059
Publisher
Elsevier
Citation Information
AlSharawi, Z., Angelos, J., Elaydi, S., & Rakesh, L. (2006). An extension of Sharkovsky's theorem to periodic difference equations. Journal of Mathematical Analysis and Applications, 316(1), 128-141. doi:10.1016/j.jmaa.2005.04.059