On the Behavior of Solutions of the System of Rational Difference Equations xn+1=xn-1/ynxn-1-1, yn+1=yn-1/xnyn-1-1, zn+1=xn/ynzn-1 - Applied Mathematics

AM > Vol.2 No.8, August 2011

On the Behavior of Solutions of the System of Rational Difference Equations x_n+1=x_n-1/y_nx_n-1-1, y_n+1=y_n-1/x_ny_n-1-1, z_n+1=x_n/y_nz_n-1 ()

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DOI: 10.4236/am.2011.28143 4,606 Downloads 9,854 Views Citations

Author(s)

Abdullah Selçuk Kurbanlı, Cengiz Çinar, Mehmet Emre Erdoğan

Affiliation(s)

ABSTRACT

In this paper, we investigate the solutions of the system of difference equations x_n+1=x_n-1/y_nx_n-1-1,y_n+1=y_n-1/x_ny_n-1-1,z_n+1=x_n/y_nz_n-1 where x₀,x_-1,y₀,y_-1,z₀,z_-1∈R.

KEYWORDS

Difference Equation, Difference Equation Systems, Solutions

Share and Cite:

A. Kurbanlı, C. Çinar and M. Erdoğan, "On the Behavior of Solutions of the System of Rational Difference Equations x_n+1=x_n-1/y_nx_n-1-1, y_n+1=y_n-1/x_ny_n-1-1, z_n+1=x_n/y_nz_n-1," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 1031-1038. doi: 10.4236/am.2011.28143.

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