Browsing Department of Mathematics and Statistics by Author "9cc8dc50-29a8-44bb-9905-75a381857062"

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    • Existence and stability of periodic orbits of periodic difference equations with delays 

      Al-Sharawi, Ziyad; Angelos, James; Elaydi, Saber (World Scientific Publishing, 2008)
      In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xₙ = f(n - 1, xₙ₋ₖ). We show that the periodic orbits of this equation depend on the periodic ...

    • 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 ...

    • On the periodic logistic equation 

      Al-Sharawi, Ziyad; Angelos, James (Elsevier, 2006)
      We show that the 𝒑-periodic logistic equation 𝒳ₙ₊₁ = μₙ mod 𝒑𝒳ₙ(1 - 𝒳ₙ) has cycles (periodic solutions) of minimal periods 1; 𝒑; 2𝒑; 3𝒑; …. Then we extend Singer’s theorem to periodic difference equations, and use ...