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On the Symmetrical System of Rational Difference Equation x<sub>n+1</sub>=<i>A</i>+y<sub>n-k</sub>/y<sub>n</sub>, y<sub>n+1</sub>=<i>A</i>+x<sub>n-k</sub>/x<sub>n</sub>
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
- 1 Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
- 2 Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
- 3 Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
- 4 Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, China
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Abstract
In this paper, we study the behavior of the symmetrical system of rational difference equation: where A > o and x i , y i ∈(0, ∞), for i = - k ,- k +1,…,0.
KeywordsSymmetrical SystemDifference EquationBoundednessPeriod-Two Solution
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