Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\) (Q721577)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\) |
scientific article; zbMATH DE number 6908562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\) |
scientific article; zbMATH DE number 6908562 |
Statements
Dynamics of nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\) (English)
0 references
19 July 2018
0 references
The authors study the difference equation \[ x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}. \] They mainly consider the boundedness of its solutions, invariant intervals, semi-cycles and global attractivity of all nonnegative solutions.
0 references
difference equation
0 references
boundedness
0 references
invariant interval
0 references
semi-cycle
0 references
global attractivity
0 references
0 references
0 references
0 references
