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An Extension of Sharkovsy’s Theorem to Periodic Difference Equations

Al-Sharawi, Ziyad; Angelos, James; Elaydi, Saber; Rakesh, Leela (Elsevier, 2006)

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 ...