Global asymptotic stability and trajectory structure rules of high-order nonlinear difference equation
In this article, global asymptotic stability and trajectory structure of the following high-order nonlinear difference equation $ z_{n+1} = \frac{z_{n-1}z_{n-2}z_{n-4}+z_{n-1}+z_{n-2}+z_{n-4}+b}{z_{n-1}z_{n-2}+z_{n-1}z_{n-4}+z_{n-2}z_{n-4}+1+b}, \quad n\in N, $ are studied, where $ b\in[0, \in...
Saved in:
| Main Authors: | Qianhong Zhang, Liqin Shen |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-09-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241370?viewType=HTML |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
The Solution and Dynamic Behaviour of Difference Equations of Twenty-First Order
by: Ibrahim Tarek Fawzi Abdelhamid, et al.
Published: (2023-07-01) -
Stability of the third order rational difference equation
by: Mehmet Emre Erdoğan
Published: (2020-06-01) -
Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian)
by: А. A. Kozma
Published: (2011-11-01) -
Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
by: Shahrina Ismail, et al.
Published: (2023-10-01) -
Asymptotic Stability of a Finite Difference Scheme for a Wave Equation with Delayed Damping
by: Manal Alotaibi
Published: (2025-06-01)