Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\)
type: Item
instance of: scholarly article
title: Dynamics of difference equation \(x_{n+1}=f( x_{n-l},x_{n-k})\)
zbMATH Open document ID: 1448.39004
author: Osama Moaaz
published in: Advances in Difference Equations
publication date: 2019-02-04T00:00:00Z
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A21
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A30
zbMATH DE Number: 7012036
zbMATH Keywords: difference equation
zbMATH Keywords: equilibrium points
zbMATH Keywords: local and global stability
zbMATH Keywords: prime period two
MaRDI profile type: Publication
full work available at URL: s13662-018-1896-0
OpenAlex ID: W2902001918
cites work: On the difference equation \(x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )\)
cites work: Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
cites work: On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
cites work: The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$
cites work: The behaviour of the positive solutions of the difference equation
cites work: Fite-Hille-Wintner-type oscillation criteria for second-order half-linear dynamic equations with deviating arguments
cites work: Oscillations of differential equations generated by several deviating arguments
cites work: Oscillation criteria for delay and advanced differential equations with nonmonotone arguments
cites work: On the Recursive Sequencexn+1=
cites work: On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
cites work: Q5313262
cites work: On the periodicity of solutions of max‐type difference equation
cites work: The form of solutions and periodicity for some systems of third-order rational difference equations
cites work: Q5263524
cites work: On asymptotic behaviour of the difference equation \(x_{x+1}=\alpha + \frac {x_{n-k}}{x_n}\)
cites work: On the difference equation \(x_{n+1}=\frac{\alpha x_{n-1}+\beta x_{n-k}}{Ax_{n-1}+Bx_{n-k}}\)
cites work: Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments
cites work: Dynamics and behavior of a higher order rational difference equation
cites work: New method to obtain periodic solutions of period two and three of a rational difference equation
cites work: On the recursive sequence \(x_{n+1}=\alpha + x_{n-1}/x_n\)
cites work: On the Recursive Sequence
cites work: On the positive nonoscillatory solutions of the difference equation \(x_{n+1}=\alpha+\Big(\dfrac{x_{n-k}}{x_{n-m}}\Big)^p\)
cites work: Q3137926
cites work: Dynamics of second order rational difference equations. With open problems and conjectures
cites work: On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(\gamma x_n+\delta x_{n-1})\)
cites work: On asymptotic behavior of solutions to higher-order sublinear Emden-Fowler delay differential equations
cites work: Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations
cites work: Comment on ``New method to obtain periodic solutions of period two and three of a rational difference equation''
cites work: On the asymptotic behavior of fourth-order functional differential equations
cites work: Dynamics of the difference equation \(x_{n+1}=p_n+\frac{x_{n-k}}{x_n}\) with a period-two coefficient
cites work: On the rational difference equation \(y_{n+1}= A+ \frac {y_{n-k}}{y_{n}}\)
cites work: On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)
cites work: A note on positive non-oscillatory solutions of the difference equation
cites work: On convergence of the solutions of the difference equation \(x_{n+1}= 1+ \frac {X_{n-1}}{x_n}\)
cites work: On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\)
DOI: 10.1186/S13662-018-1896-0
Recommended article: Dynamics of the difference equation \(x_{n+1}=\frac{x_n+p x_{n-k}}{x_n+q}\)
Recommended article: Dynamics of the difference equation
Recommended article: Q3115018
Recommended article: On the dynamics of the difference equation \(x_{n+1} = \frac{1}{B_nx_n+x_{n+1}}\)
Recommended article: Dynamics for nonlinear difference equation \(x_{n+1}=(\alpha x_{n - k})/(\beta +\gamma x_{n - l}^p)\)
Recommended article: Dynamics of the rational difference equation \(x_{n+1}=Ax_n+Bx_{n-k}+Cx_{n-l}+\frac{bx_nx_{n-k}x_{n-l}}{dx_{n-k}-ex_{n-l}}\)
Recommended article: Q3656120
Recommended article: Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)
Recommended article: Q3105200
Recommended article: Dynamics of the system of difference equations \(x_{n+1} = A+\frac{y_{n-k}}{y_n}\), \(y_{n+1} = B+\frac{x_{n-k}}{x_n}\)
description: scientific article; zbMATH DE number 7012036