Solution for Rational Systems of Difference Equations of Order Three

Mohamed M. El-Dessoky
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Mohamed M. El-Dessoky: Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Mathematics, 2016, vol. 4, issue 3, 1-12

Abstract: In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n ? 2 ? 1 + y n ? 2 x n ? 1 y n , y n + 1 = x n ? 2 ± 1 ± x n ? 2 y n ? 1 x n , with initial conditions x ? 2 , x ? 1 , x 0 , y ? 2 , y ? 1 , and y 0 are nonzero real numbers.

Keywords: Keywords; difference equations; recursive sequences; stability; periodic solution; system of difference equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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