Browsing Department of Mathematics and Statistics by Author "cd05125d-1984-4370-bf1b-d528b4c080fe"
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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 ...