Analytic solutions and stability of sixth order difference equations
type: Item
instance of: scholarly article
title: Analytic solutions and stability of sixth order difference equations
zbMATH Open document ID: 1459.39035
DOI: 10.1155/2020/1230979
author: H. S. Alayachi
author: A. Q. Khan
author: M. B. Almatrafi
author: M. S. M. Noorani
published in: Mathematical Problems in Engineering
publication date: 2020-10-14T00:00:00Z
review text: Summary: In the present paper, the global attractor, local stability, and boundedness of the solution of sixth order difference equations are investigated analytically and numerically. The exact solutions of three equations are presented by utilizing Fibonacci sequence. We also analyse the periodicity of a sixth order difference equation. The considered difference equations are given by \(y_{n + 1}=A y_{n - 1}\pm\left( B y_{n - 1} y_{n - 3} / C y_{n - 3} \pm D y_{n - 5}\right)\), \(n=0,1,\ldots\), where the initial conditions \(y_{- 5}\), \(y_{- 4}\), \(y_{- 3}\), \(y_{- 2}\), \(y_{- 1}\), and \(y_0\) are arbitrary real numbers and the values \(A\), \(B\), \(C\), and \(D\) are defined as positive real numbers.
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 7260943
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1230979
OpenAlex ID: W3088382846
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description: scientific article; zbMATH DE number 7260943