Article
Solution of the Rational Difference Equation xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11 {x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}
Authors
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Abstract
In this paper, solution of the following difference equation is examined
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11,
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}},
where the initial conditions are positive real numbers.
Keywords
Difference equations, rational difference equations, 39A10
Citation
Simsek, D., Ogul, B., & Abdullayev, F. (2020). Solution of the rational difference equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}. Applied Mathematics and Nonlinear Sciences, 5(1), 485–494. https://doi.org/10.2478/amns.2020.1.00047
D. Simsek, B. Ogul and F. Abdullayev, “Solution of the rational difference equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}},” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 485–494, 2020, doi: 10.2478/amns.2020.1.00047.
Simsek D, Ogul B, Abdullayev F. Solution of the rational difference equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}. Applied Mathematics and Nonlinear Sciences. 2020;5(1):485–494. doi:10.2478/amns.2020.1.00047.
Simsek, D., Ogul, B. and Abdullayev, F. (2020), ‘Solution of the rational difference equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 485–494. Available at: https://doi.org/10.2478/amns.2020.1.00047.
Simsek, Dagistan, et al. “Solution of the Rational Difference Equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 485–494. https://doi.org/10.2478/amns.2020.1.00047.
Simsek, Dagistan, Burak Ogul, and Fahreddin Abdullayev. “Solution of the Rational Difference Equation
xn+1=xn−131+xn−1xn−3xn−5xn−7xn−9xn−11
{x_{n + 1}} = {{{x_{n - 13}}} \over {1 + {x_{n - 1}}{x_{n - 3}}{x_{n - 5}}{x_{n - 7}}{x_{n - 9}}{x_{n - 11}}}}.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 485–494. https://doi.org/10.2478/amns.2020.1.00047.
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Published by: Engineering Journals
