On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients (Q628993)
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: On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients |
scientific article; zbMATH DE number 5862540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients |
scientific article; zbMATH DE number 5862540 |
Statements
On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients (English)
0 references
8 March 2011
0 references
The boundedness of a non-autonomous equation \(x(n+1) = p(n) + x(n-3s+1)/x(n-s+1), n = 0, 1, \dots, \) is studied. The authors show that every positive solution of the considered equation is bounded.
0 references
non-autonomous equation
0 references
positive solution
0 references
boundedness
0 references
rational difference equation
0 references
0 references
