Dynamics of a higher-order system of difference equations

DOI10.1155/2017/4312640zbMath1368.39010OpenAlexW2575897310WikidataQ59143165 ScholiaQ59143165MaRDI QIDQ2398572

Publication date: 16 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4312640

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (max. 100)

Dynamic characteristics of four systems of difference equations with higher order

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Long-term behavior of positive solutions of a system of max-type difference equations
On the behavior of solutions of the system of rational difference equations: \(x_{n+1} = x_{n-1}/(y_nx_{n-1}-1)\), \(y_{n+1} = y_{n-1}/(x_ny_{n-1}-1)\), and \(z_{n+1} = z_{n-1}/(y_nz_{n-1}-1)\)
On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
On the system of rational difference equations \(x_n=A+y_{n-1}/x_{n-p}y_{n-q}\), \(y_n=A+x_{n-1}/x_{n-r}y_{n-s}\)
Stability of a rational difference equation
On boundary value problems for a discrete generalized Emden--Fowler equation
Periodic solutions for discrete convex Hamiltonian systems via Clarke duality
On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
On a system of two nonlinear difference equations
A coupled system of rational difference equations
Global asymptotic behavior of positive solutions on the system of rational difference equations \(x_{n+1}=1+x_ n/y_{n-m}, y_ {n+1}=1+y_ n/x_{n-m}\).
Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
Global asymptotic behavior of a two-dimensional difference equation modelling competition
Eventually periodic solutions of a max-type equation
Homoclinic orbits for discrete Hamiltonian systems with indefinite linear part
Periodic solutions of a \(2n\)th-order nonlinear difference equation
Some problems on the global attractivity of linear nonautonomous difference equations
On a nonlinear second order system of difference equations
On the nonlinear difference equation system \(x_{n+1}=A+y_{n - m}/x_n,y_{n+1}=A+x_{n - m}/y_n\)
Heteroclinic orbits for a discrete pendulum equation
ON THE SOLUTIONS OF A CLASS OF DIFFERENCE EQUATIONS SYSTEMS
PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
Homoclinic orbits for a class of discrete periodic Hamiltonian systems
Dynamics of the difference equation
On a higher-order system of difference equations
On the system of two difference equations \[ x _{n+1}=\sum _{i=0} ^{k} A _{i}/y _{n-i} ^{p_{i}},\quad y _{n+1}=\sum _{i=0} ^{k} B _{i}/x _{n-i} ^{q_{i}}. \]

This page was built for publication: Dynamics of a higher-order system of difference equations