Dynamical Behavior of Rational Difference Equation xn+1=xn-15±1±xn-3xn-7xn-11xn-15 View Full Text


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Article Info

DATE

2021-10-07

AUTHORS

Burak Oğul, Dağıstan Şimşek, Abdullah Selçuk Kurbanlı, Hasan Öğünmez

ABSTRACT

In this paper, we study the qualitative behavior of the rational recursive sequences xn+1=xn-15±1±xn-3xn-7xn-11xn-15,n∈N0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}, \quad n \in {\mathbb {N}}_{0} \end{aligned}$$\end{document}where the initial conditions are arbitrary real numbers. Also, we give the numerical examples and solutions graphs of some cases of difference equations. More... »

PAGES

1-16

References to SciGraph publications

  • 2018-08-11. On the Recursive Sequence xn+1=xn−k+11+xnxn−1…xn−k in JOURNAL OF MATHEMATICAL SCIENCES
  • 2016-10. Behavior of some higher order nonlinear rational partial difference equations in JOURNAL OF THE EGYPTIAN MATHEMATICAL SOCIETY
  • 2015-10-12. On a product-type system of difference equations of second order solvable in closed form in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2006-09-06. Ipsilateral fracture of distal and proximal ends of the radius: Does this injury pattern deserve special attention? in EUROPEAN JOURNAL OF ORTHOPAEDIC SURGERY & TRAUMATOLOGY
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