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

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}}}}

Published:2020-01-01 Issue:1 Volume:5 Page:485-494
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Simsek Dagistan¹²,Ogul Burak¹,Abdullayev Fahreddin¹³

Affiliation:

1. Kyrgyz Turkish Manas University , Bishkek , Kyrgyzstan

2. Konya Technical University , Konya , Turkey

3. Mersin University , Mersin , Turkey

Abstract

Abstract In this paper, solution of the following difference equation is examined x n + 1 = x n − 13 1 + x n − 1 x n − 3 x n − 5 x n − 7 x n − 9 x n − 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.1.00047

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